What is the Greatest Common Factor of 27456 and 27462?

Greatest common factor (GCF) of 27456 and 27462 is 6.

GCF(27456,27462) = 6

We will now calculate the prime factors of 27456 and 27462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27456 and 27462.

How to find the GCF of 27456 and 27462?

We will first find the prime factorization of 27456 and 27462. After we will calculate the factors of 27456 and 27462 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 27462

Prime factors of 27462 are 2, 3, 23, 199. Prime factorization of 27462 in exponential form is:

27462 = 2¹ × 3¹ × 23¹ × 199¹

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 27462

List of positive integer factors of 27462 that divides 27456 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 199, 398, 597, 1194, 4577, 9154, 13731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27456 and 27462. The biggest common factor number is the GCF number.
So the greatest common factor 27456 and 27462 is 6.

Also check out the Least Common Multiple of 27456 and 27462