What is the Greatest Common Factor of 15456 and 15468?

Greatest common factor (GCF) of 15456 and 15468 is 12.

GCF(15456,15468) = 12

We will now calculate the prime factors of 15456 and 15468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15456 and 15468.

How to find the GCF of 15456 and 15468?

We will first find the prime factorization of 15456 and 15468. After we will calculate the factors of 15456 and 15468 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 15468

Prime factors of 15468 are 2, 3, 1289. Prime factorization of 15468 in exponential form is:

15468 = 2² × 3¹ × 1289¹

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 15468

List of positive integer factors of 15468 that divides 15456 without a remainder.

1, 2, 3, 4, 6, 12, 1289, 2578, 3867, 5156, 7734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15456 and 15468. The biggest common factor number is the GCF number.
So the greatest common factor 15456 and 15468 is 12.

Also check out the Least Common Multiple of 15456 and 15468