What is the Greatest Common Factor of 27456 and 27468?

Greatest common factor (GCF) of 27456 and 27468 is 12.

GCF(27456,27468) = 12

We will now calculate the prime factors of 27456 and 27468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27456 and 27468.

How to find the GCF of 27456 and 27468?

We will first find the prime factorization of 27456 and 27468. After we will calculate the factors of 27456 and 27468 and find the biggest common factor number .

Step-1: Prime Factorization of 27456

Prime factors of 27456 are 2, 3, 11, 13. Prime factorization of 27456 in exponential form is:

27456 = 2⁶ × 3¹ × 11¹ × 13¹

Step-2: Prime Factorization of 27468

Prime factors of 27468 are 2, 3, 7, 109. Prime factorization of 27468 in exponential form is:

27468 = 2² × 3² × 7¹ × 109¹

Step-3: Factors of 27456

List of positive integer factors of 27456 that divides 27456 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 32, 33, 39, 44, 48, 52, 64, 66, 78, 88, 96, 104, 132, 143, 156, 176, 192, 208, 264, 286, 312, 352, 416, 429, 528, 572, 624, 704, 832, 858, 1056, 1144, 1248, 1716, 2112, 2288, 2496, 3432, 4576, 6864, 9152, 13728

Step-4: Factors of 27468

List of positive integer factors of 27468 that divides 27456 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 109, 126, 218, 252, 327, 436, 654, 763, 981, 1308, 1526, 1962, 2289, 3052, 3924, 4578, 6867, 9156, 13734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27456 and 27468. The biggest common factor number is the GCF number.
So the greatest common factor 27456 and 27468 is 12.

Also check out the Least Common Multiple of 27456 and 27468