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Two methods are commonly used.
1) Factor each number into prime factors. List the common factors between both numers.
2) Use Euclid's algorithm. For example, the greatest common factor of 70 and 40 is the same as the greatest common factor of 40 and 10 (where 10 is obtained by subtracting 70 - 40; or, to be more general, the remainder of the division 70 / 40).
Euclid's algorithm is more appropriate for large numbers, since in that case, factoring can be difficult.
What else can I help you with?
What is the greatest common factor of 173?
Two (or more) integers have a common factor - e.g., the greatest common factor of 173 and 100 is 1, or the greatest common factor of 173 and 519 is 173. The question makes no sense with one number. 173 is a prime, by the way.
What is the greatest common factor of 119 and 391?
Answer: GCF of 119 and 391 is 17. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 119 are 1, 7, 17, and 119. The factors of 391 are 1, 17, 23, and 391 The common factors are 1 and 17. Therefore, the greatest common factor is 17. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 119 are 7 and 17. The prime factors of 391 are 17 and 23. The prime factors in common are a single 17, so the greatest common factor is 17. Once you determine that there are only two prime factors for 119, the easiest way to determine the greatest common factor is to check whether 391 is evenly divided by either 17 or 7, rather than determining the prime factors of 391, too.
What is the easiest way to find the greatest common factor of 3 numbers?
do the prime factorization of the 3 numbers. list the prime factors of all the 3 numbers. circle the factors that are common to the 3. multiply them. that number is the HCF
What is the greatest common factor of 131 and 161?
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 131 are 1 and 131. The factors of 161 are 1, 7, 23, and 161. The only common factor is 1. Therefore, the greatest common factor is 1.
What is the greatest common factor of 2 and 211?
The only factors of 2 are 1 and 2, so the greatest common factor is 2 if the other number is even or 1 if it is not. 211 is not even. Therefore, the greatest common factor is 1. Another way to solve this is by knowing that when both numbers are prime numbers, the greatest common factor is 1. Both 2 and 211 are prime numbers, so their greatest common factor is 1. One more way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 2 are 1 and 2. The factors of 211 are 1 and 211. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 2 is 2. The prime factor of 211 is 211. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
What is the greatest common factor of 3 and 14?
Since 3 is a prime number, either it or 1 is the greatest common factor. Since 3 is not a factor of 14, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 3 are 1 and 3. The factors of 14 are 1, 2, 7, and 14. The only common factor is 1. Therefore, the greatest common factor is 1. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 3 is 3. The prime factors of 14 are 2 and 7. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1. Summary of results: The common factor is 1. The greatest common factor is 1. The numbers are relatively prime.
What is the greatest common factor of 2 and 9?
Since 2 is a prime number, either it is the greatest common factor or 1 is. Since 2 is not a factor of 9, the greatest common factor is 1.Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 2 are 1 and 2.The factors of 9 are 1, 3, and 9.The only common factor is 1. Therefore, the greatest common factor is 1.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factor of 2 is 2.The prime factors of 9 are 3 and 3.There are no prime factors in common, so the numbers are relatively prime, meaning the greatest common factor is 1.Summary of results:The common factor is 1.The greatest common factor is 1.The numbers are relatively prime.The GCF is 1.The GCF is 1.
What is the greatest common factor of 42 and 86?
The GCF of 42 and 86 is 2. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 86 are 1, 2, 43, and 86. The common factors are 1 and 2. Therefore, the greatest common factor is 2.
What is the greatest common factor of 27 and 29?
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 27 are 1, 3, 9, and 27. The factors of 29 are 1 and 29. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.
What is the greatest common factor of 45 and 77?
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 45 are 1, 3, 5, 9, 15, and 45. The factors of 77 are 1, 7, 11, and 77. The only common factor is 1. Therefore, the greatest common factor is 1.
What is the greatest common factor of 17 and 22?
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 17 are 1 and 17. The factors of 22 are 1, 2, 11, and 22. The only common factor is 1. Therefore, the greatest common factor is 1.
What is the greatest common factor of 5 and 23?
Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.
