What is the Greatest Common Factor of 69456 and 69472?

Greatest common factor (GCF) of 69456 and 69472 is 16.

GCF(69456,69472) = 16

We will now calculate the prime factors of 69456 and 69472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69472.

How to find the GCF of 69456 and 69472?

We will first find the prime factorization of 69456 and 69472. After we will calculate the factors of 69456 and 69472 and find the biggest common factor number .

Step-1: Prime Factorization of 69456

Prime factors of 69456 are 2, 3, 1447. Prime factorization of 69456 in exponential form is:

69456 = 2⁴ × 3¹ × 1447¹

Step-2: Prime Factorization of 69472

Prime factors of 69472 are 2, 13, 167. Prime factorization of 69472 in exponential form is:

69472 = 2⁵ × 13¹ × 167¹

Step-3: Factors of 69456

List of positive integer factors of 69456 that divides 69456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1447, 2894, 4341, 5788, 8682, 11576, 17364, 23152, 34728

Step-4: Factors of 69472

List of positive integer factors of 69472 that divides 69456 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 167, 208, 334, 416, 668, 1336, 2171, 2672, 4342, 5344, 8684, 17368, 34736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69472. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69472 is 16.

Also check out the Least Common Multiple of 69456 and 69472