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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.
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What is the greatest common factor of 14 and 24?
The factors of 14 are 1, 2, 7, and 14.The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.Therefore, the greatest common factor is 2.The greatest common factor can also be determined from the prime factors.The prime factors of 14 are 2 and 7.The prime factors of 24 are 2, 2, 2, and 3.The only common factors are 2, so it is the greatest common factor.
What is the greatest common factor of 3 6 and 84?
The greatest common factor of 3 6 and 84 is 3.
What is the greatest common factor of 3 and 51?
3 is a factor of 51, and 3 is also the largest factor of itself, so 3 is the greatest common factor. The factors of 3 are 1 and 3. The factors of 51 are 1, 3, 17, and 51. The common factors are 1 and 3. Therefore, the greatest common factor is 3. 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 51 are 3 and 17. The common prime factors are a single 3, so the greatest common factor is 3.
What is the greatest common factor of 14 and 84?
Answer: 14Definition: 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 the numbers have in common.Method: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 14 are 1, 2, 7, and 14.The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.The common factors are 1, 2, 7, and 14 and 14. Therefore, the greatest common factor is 14.The factors of 14 are:1, 2, 7, 14The factors of 84 are:1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84The common factors are:1, 2, 7, 14The Greatest Common Factor (GCF) is:14Since 14 is a factor of 84, it is automatically the GCF.
What is the greatest common factor of 14 and 39?
Answer: 1Definition: 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 the numbers have in common.Method: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 14 are 1, 2, 7, and 14.The factors of 39 are 1, 3, 13, and 39.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.
