What is the Greatest Common Factor of 69312 and 69321?

Greatest common factor (GCF) of 69312 and 69321 is 3.

GCF(69312,69321) = 3

We will now calculate the prime factors of 69312 and 69321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69312 and 69321.

How to find the GCF of 69312 and 69321?

We will first find the prime factorization of 69312 and 69321. After we will calculate the factors of 69312 and 69321 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 69321

Prime factors of 69321 are 3, 7, 3301. Prime factorization of 69321 in exponential form is:

69321 = 3¹ × 7¹ × 3301¹

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 69321

List of positive integer factors of 69321 that divides 69312 without a remainder.

1, 3, 7, 21, 3301, 9903, 23107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69312 and 69321. The biggest common factor number is the GCF number.
So the greatest common factor 69312 and 69321 is 3.

Also check out the Least Common Multiple of 69312 and 69321