What is the Greatest Common Factor of 15456 and 15474?

Greatest common factor (GCF) of 15456 and 15474 is 6.

GCF(15456,15474) = 6

We will now calculate the prime factors of 15456 and 15474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15456 and 15474.

How to find the GCF of 15456 and 15474?

We will first find the prime factorization of 15456 and 15474. After we will calculate the factors of 15456 and 15474 and find the biggest common factor number .

Step-1: Prime Factorization of 15456

Prime factors of 15456 are 2, 3, 7, 23. Prime factorization of 15456 in exponential form is:

15456 = 2⁵ × 3¹ × 7¹ × 23¹

Step-2: Prime Factorization of 15474

Prime factors of 15474 are 2, 3, 2579. Prime factorization of 15474 in exponential form is:

15474 = 2¹ × 3¹ × 2579¹

Step-3: Factors of 15456

List of positive integer factors of 15456 that divides 15456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 69, 84, 92, 96, 112, 138, 161, 168, 184, 224, 276, 322, 336, 368, 483, 552, 644, 672, 736, 966, 1104, 1288, 1932, 2208, 2576, 3864, 5152, 7728

Step-4: Factors of 15474

List of positive integer factors of 15474 that divides 15456 without a remainder.

1, 2, 3, 6, 2579, 5158, 7737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15456 and 15474. The biggest common factor number is the GCF number.
So the greatest common factor 15456 and 15474 is 6.

Also check out the Least Common Multiple of 15456 and 15474