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Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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7y ago
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11y ago

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 3 = 6, the GCF

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8y ago

The greatest common factor of two distinct primes is always 1.

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9y ago

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It is: 1

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Q: How do you find the greatest common factor of two prime numbers?
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Is the greatest common factor of two different prime numbers always 1?

Yes, the greatest common factor of two different prime numbers is always 1


what is the largest factor that two numbers share is called?

The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers. eg Number A = 18, Prime factors = 2*3*3 Number B = 24, Prime factors = 2*2*2*3 The Prime factors that A and B have in common are 2 and 3 Multiply them together = 6 6= the GCF of 18 and 24


What is it called when the greatest common factor is 1?

Such numbers are relatively prime, or co-prime.


What is the greatest common factor of 22 and 47?

Since both 23 and 47 are prime numbers, their greatest common factor is 1.


What are the greatest common factors of 9 and 25?

Answer:The only common factor of 9 and 25 is 1.The greatest common factor of 9 and 25 is 1.Because 1 is the only common factor, the numbers are relatively prime.Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.Methods: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 9 are 1, 3, and 9.The factors of 25 are 1, 5, and 25.The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime.The common factors and greatest common factor can also be calculated by identifying the common prime factors and multiplying them together to identify the greatest common factor, and then taking all the factors of it to determine the common factors.The prime factors of 9 are 3 and 3.The prime factors of 25 are 5 and 5.There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

Related questions

What is the greatest common factor of two or more prime numbers?

The greatest common factor of two or more prime numbers is 1.


When the greatest common factor of two numbers is 1 then the two numbers are said to be what?

If the greatest common factor is 1, then the numbers are said to be co-prime or relatively prime.


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.


Can the greatest common factor of two numbers be prime?

Yes. The greatest common factor of 4 and 10 is 2, which is a prime number. The greatest common factor of 51 and 81 is 3, which is a prime number.


What is the greatest common factor of two prime numbers?

The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.The GCF is 1.


What set of numbers has a greatest common factor of 1?

Prime numbers and numbers that are relatively prime.


If the greatest common factor of two numbers is one what can you say about the number?

The numbers are relatively prime, or co-prime.


When is the greatest common factor of a pair of numbers on of the numbers?

A prime number


What is the common and greatest common factor of 13 and17?

Since they are both prime numbers - the greatest common factor is 1 !


Which pair of numbers has a greatest common factor that is a prime number 54 and 99 or 80 and 114?

The greatest common factor of 54 and 99 is 9, which is not prime. The greatest common factor of 80 and 114 is 2, which is prime.


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.


Is the greatest common factor of two different prime numbers always 1?

Yes, the greatest common factor of two different prime numbers is always 1