What is the Greatest Common Factor of 69456 and 69462?

Greatest common factor (GCF) of 69456 and 69462 is 6.

GCF(69456,69462) = 6

We will now calculate the prime factors of 69456 and 69462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69456 and 69462.

How to find the GCF of 69456 and 69462?

We will first find the prime factorization of 69456 and 69462. After we will calculate the factors of 69456 and 69462 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 69462

Prime factors of 69462 are 2, 3, 17, 227. Prime factorization of 69462 in exponential form is:

69462 = 2¹ × 3² × 17¹ × 227¹

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 69462

List of positive integer factors of 69462 that divides 69456 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 227, 306, 454, 681, 1362, 2043, 3859, 4086, 7718, 11577, 23154, 34731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69456 and 69462. The biggest common factor number is the GCF number.
So the greatest common factor 69456 and 69462 is 6.

Also check out the Least Common Multiple of 69456 and 69462