What is the Greatest Common Factor of 27456 and 27474?

Greatest common factor (GCF) of 27456 and 27474 is 6.

GCF(27456,27474) = 6

We will now calculate the prime factors of 27456 and 27474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27456 and 27474.

How to find the GCF of 27456 and 27474?

We will first find the prime factorization of 27456 and 27474. After we will calculate the factors of 27456 and 27474 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 27474

Prime factors of 27474 are 2, 3, 19, 241. Prime factorization of 27474 in exponential form is:

27474 = 2¹ × 3¹ × 19¹ × 241¹

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 27474

List of positive integer factors of 27474 that divides 27456 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 241, 482, 723, 1446, 4579, 9158, 13737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27456 and 27474. The biggest common factor number is the GCF number.
So the greatest common factor 27456 and 27474 is 6.

Also check out the Least Common Multiple of 27456 and 27474