What is the Greatest Common Factor of 69312 and 69317?

Greatest common factor (GCF) of 69312 and 69317 is 1.

GCF(69312,69317) = 1

We will now calculate the prime factors of 69312 and 69317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69312 and 69317.

How to find the GCF of 69312 and 69317?

We will first find the prime factorization of 69312 and 69317. After we will calculate the factors of 69312 and 69317 and find the biggest common factor number .

Step-1: Prime Factorization of 69312

Prime factors of 69312 are 2, 3, 19. Prime factorization of 69312 in exponential form is:

69312 = 2⁶ × 3¹ × 19²

Step-2: Prime Factorization of 69317

Prime factors of 69317 are 69317. Prime factorization of 69317 in exponential form is:

69317 = 69317¹

Step-3: Factors of 69312

List of positive integer factors of 69312 that divides 69312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 361, 456, 608, 722, 912, 1083, 1216, 1444, 1824, 2166, 2888, 3648, 4332, 5776, 8664, 11552, 17328, 23104, 34656

Step-4: Factors of 69317

List of positive integer factors of 69317 that divides 69312 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69312 and 69317. The biggest common factor number is the GCF number.
So the greatest common factor 69312 and 69317 is 1.

Also check out the Least Common Multiple of 69312 and 69317