What is the Greatest Common Factor of 27438 and 27456?

Greatest common factor (GCF) of 27438 and 27456 is 6.

GCF(27438,27456) = 6

We will now calculate the prime factors of 27438 and 27456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27438 and 27456.

How to find the GCF of 27438 and 27456?

We will first find the prime factorization of 27438 and 27456. After we will calculate the factors of 27438 and 27456 and find the biggest common factor number .

Step-1: Prime Factorization of 27438

Prime factors of 27438 are 2, 3, 17, 269. Prime factorization of 27438 in exponential form is:

27438 = 2¹ × 3¹ × 17¹ × 269¹

Step-2: 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-3: Factors of 27438

List of positive integer factors of 27438 that divides 27438 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 269, 538, 807, 1614, 4573, 9146, 13719

Step-4: Factors of 27456

List of positive integer factors of 27456 that divides 27438 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27438 and 27456. The biggest common factor number is the GCF number.
So the greatest common factor 27438 and 27456 is 6.

Also check out the Least Common Multiple of 27438 and 27456