What is the Greatest Common Factor of 39456 and 39468?

Greatest common factor (GCF) of 39456 and 39468 is 12.

GCF(39456,39468) = 12

We will now calculate the prime factors of 39456 and 39468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39456 and 39468.

How to find the GCF of 39456 and 39468?

We will first find the prime factorization of 39456 and 39468. After we will calculate the factors of 39456 and 39468 and find the biggest common factor number .

Step-1: Prime Factorization of 39456

Prime factors of 39456 are 2, 3, 137. Prime factorization of 39456 in exponential form is:

39456 = 2⁵ × 3² × 137¹

Step-2: Prime Factorization of 39468

Prime factors of 39468 are 2, 3, 11, 13, 23. Prime factorization of 39468 in exponential form is:

39468 = 2² × 3¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 39456

List of positive integer factors of 39456 that divides 39456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 137, 144, 274, 288, 411, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 4384, 4932, 6576, 9864, 13152, 19728

Step-4: Factors of 39468

List of positive integer factors of 39468 that divides 39456 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 23, 26, 33, 39, 44, 46, 52, 66, 69, 78, 92, 132, 138, 143, 156, 253, 276, 286, 299, 429, 506, 572, 598, 759, 858, 897, 1012, 1196, 1518, 1716, 1794, 3036, 3289, 3588, 6578, 9867, 13156, 19734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39456 and 39468. The biggest common factor number is the GCF number.
So the greatest common factor 39456 and 39468 is 12.

Also check out the Least Common Multiple of 39456 and 39468