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

Updated: 10/15/2022 Wiki User

11y ago

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

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Q: Does the greatest common factor have to be a prime number?
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Still have questions?  Related questions

### 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 through prime number 64?

This is a question that cannot be answered. First, 64 is not a prime number. Second, the greatest common factor is the factor that two or more numbers have in common. There is no greatest common factor of a single number, such as 64.

### What is the greatest common factor of 5 and 121?

5 is a prime number so the greatest common factor has to be the number 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 number has 1 as a greatest common factor?

Any two or more prime numbers have 1 as the greatest common factor.

No.

### What is the greatest common factor of 51 and 73?

73 is a prime number so 51,3x17 and 73 only have the number 1 as the greatest common factor.

No.

### What is the greatest common factor between 41 and 70?

There is no greatest common factor for 41 and 70 because 41 is a prime number.

### What is the greatest common factor of 15 and 29?

Since the number 29 is prime, the greatest common factor of 15 and 29 is 1.

### What is the greatest common factor of 7 and 26?

Since the number 7 is a prime number and not a factor of 26, the greatest common positive integer factor of 7 and 26 is 1.

### How do you find the greatest common factor of 45 using prime factorization?

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.