What is the Greatest Common Factor of 69312 and 69322?

Greatest common factor (GCF) of 69312 and 69322 is 2.

GCF(69312,69322) = 2

We will now calculate the prime factors of 69312 and 69322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69312 and 69322.

How to find the GCF of 69312 and 69322?

We will first find the prime factorization of 69312 and 69322. After we will calculate the factors of 69312 and 69322 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 69322

Prime factors of 69322 are 2, 11, 23, 137. Prime factorization of 69322 in exponential form is:

69322 = 2¹ × 11¹ × 23¹ × 137¹

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 69322

List of positive integer factors of 69322 that divides 69312 without a remainder.

1, 2, 11, 22, 23, 46, 137, 253, 274, 506, 1507, 3014, 3151, 6302, 34661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69312 and 69322. The biggest common factor number is the GCF number.
So the greatest common factor 69312 and 69322 is 2.

Also check out the Least Common Multiple of 69312 and 69322