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Not if the composite number is a multiple of the prime number.

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8y ago
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13y ago

No, not always. The number 3 is prime. The number 6 is composite. The factors of 6 are 1, 2, 3, 6. The factors of 3 are 1, 3. So the GCF is 3. I believe this is called Proof by Contradiction.

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Q: Will a prime number and a composite number always have a GCF of 1?
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What is the GCF of 56 and 5?

GCF of a composite number and a prime number is always 1. Here, 5 is a prime number therefore, gcf is 1.


What is the gcf if one number is prime and the other is composite?

The answer depends on whether or not the prime number is a factor of the other number.If the prime number is a factor of the other number then the GCF is the prime, otherwise the GCF is 1.


What is the GCF of 108 and 5?

GCF of a prime number and a composite number is 1 if the composite number is not a multiple of the prime number. Here, 5 is a prime number and 108 is a composite number(not the multiple of 5). Therefore GCF of 108 and 5 is 1.


What is the greatest common factor of 37 and 50?

The greatest common factor of a prime and a composite number is 1 if the composite number is not divisible by the prime number. 37 is a prime number and 50 is a composite number. Also, 50 is not divisible by 37 therefore GCF = 1.


What is the greatest common factor of 72 and 37?

GCF of a prime number and a composite number is 1 if the composite number is a multiple of the prime number. 37 is a prime number and 72 is not a multiple of 37 because it is not divisible by 37. Therefore, GCF of 72 & 37 is 1.


What is the greatest common factor of 47 and 39?

GCF of a prime number and a composite number is 1 if the composite number is not a multiple of the prime number. It is clear here that 39 is not a multiple of 47, therefore GCF(47, 39) = 1.


What is the gcf of 18 and 24 is it prime or composite?

The gcf of 18 and 24 is 6 which is a composite number because it has more than two factors.


What is the greatest common factor of 24 and 47?

GCF of a prime number and a composite number is 1 if the prime number is not a factor of the composite number. Here 103 is a prime number and 120 is a composite number. And 120 is not divisible by 103(or 103 is not a factor of 120). So, GCF(103,120) = 1


Is the gcf of two numbers are always composite number?

Not necessarily.


What is the greatest common factor of 18 and 73?

The GCF of a prime number and a composite number is 1 if the former is not a factor of the latter. 73 is a prime number and 18 is a composite number and 73 is not a factor of 18 because 18 is not divisible by 73. So, GCF(73, 18) = 1.


Does the greatest common factor have to be a prime number?

No for example the GCF of 24 and 36 is 12 which is a composite number


What happens when you find the the GCF with prime factorization but there is only one number in common?

As long as the other number is not a multiple of the prime number, the GCF will always be 1.