What is the Greatest Common Factor of 27456 and 27467?

Greatest common factor (GCF) of 27456 and 27467 is 11.

GCF(27456,27467) = 11

We will now calculate the prime factors of 27456 and 27467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27456 and 27467.

How to find the GCF of 27456 and 27467?

We will first find the prime factorization of 27456 and 27467. After we will calculate the factors of 27456 and 27467 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 27467

Prime factors of 27467 are 11, 227. Prime factorization of 27467 in exponential form is:

27467 = 11² × 227¹

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 27467

List of positive integer factors of 27467 that divides 27456 without a remainder.

1, 11, 121, 227, 2497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27456 and 27467. The biggest common factor number is the GCF number.
So the greatest common factor 27456 and 27467 is 11.

Also check out the Least Common Multiple of 27456 and 27467