What is the greatest common factor of 36 and 7?

Answer 1

Hint: 7 is a Prime number, it has only 1 and itself as factors.

The Greatest Common Factor (GCF) is: 1
The greatest common factor of two or more numbers is the greatest common divisor of all of them, meaning it's the largest positive integer that divides each of the numbers without remainders. One way to find the GCF is to use prime factorization. Rewrite each number as a product of all prime numbers. Then find the primes that the numbers have in common, multiply those factors together, and you have your GCF! In this example:

7

7 is a prime number. Its only factors are 7 and 1.

36

Start with 2, the first prime. 36 = 2 x 18. Keep going with 2 until it doesn't work anymore. 36 = 2 x 2 x 9. Keep going. 9 isn't divisible by 2, so try the next prime, 3. 36 = 2 x 2 x 3 x 3. All the factors are prime. You've gone as far as you can go.

What prime factors do these numbers have in common? NONE! So that means 1 is the GCF of 7 and 36.

Or, you could have noticed that 7 wasn't a factor of 36, so that would leave no answer but 1.
The Greatest Common Factor is 1

Answer 2

The GCF is 1.

Answer 3

Greatest common factor of 36 and 7 is 1.

Answer 4

GCF for 36 and 7 is 1.

Answer 5

GCF(7, 36) = 1.