What is the Greatest Common Factor of 7712 and 7717?

Greatest common factor (GCF) of 7712 and 7717 is 1.

GCF(7712,7717) = 1

We will now calculate the prime factors of 7712 and 7717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7712 and 7717.

How to find the GCF of 7712 and 7717?

We will first find the prime factorization of 7712 and 7717. After we will calculate the factors of 7712 and 7717 and find the biggest common factor number .

Step-1: Prime Factorization of 7712

Prime factors of 7712 are 2, 241. Prime factorization of 7712 in exponential form is:

7712 = 2⁵ × 241¹

Step-2: Prime Factorization of 7717

Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:

7717 = 7717¹

Step-3: Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856

Step-4: Factors of 7717

List of positive integer factors of 7717 that divides 7712 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7712 and 7717. The biggest common factor number is the GCF number.
So the greatest common factor 7712 and 7717 is 1.

Also check out the Least Common Multiple of 7712 and 7717