What is the Greatest Common Factor of 69456 and 69474?

Greatest common factor (GCF) of 69456 and 69474 is 6.

GCF(69456,69474) = 6

We will now calculate the prime factors of 69456 and 69474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69474.

How to find the GCF of 69456 and 69474?

We will first find the prime factorization of 69456 and 69474. After we will calculate the factors of 69456 and 69474 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 69474

Prime factors of 69474 are 2, 3, 11579. Prime factorization of 69474 in exponential form is:

69474 = 2¹ × 3¹ × 11579¹

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 69474

List of positive integer factors of 69474 that divides 69456 without a remainder.

1, 2, 3, 6, 11579, 23158, 34737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69474. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69474 is 6.

Also check out the Least Common Multiple of 69456 and 69474