What is the Greatest Common Factor of 40644 and 40656?

Greatest common factor (GCF) of 40644 and 40656 is 12.

GCF(40644,40656) = 12

We will now calculate the prime factors of 40644 and 40656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40644 and 40656.

How to find the GCF of 40644 and 40656?

We will first find the prime factorization of 40644 and 40656. After we will calculate the factors of 40644 and 40656 and find the biggest common factor number .

Step-1: Prime Factorization of 40644

Prime factors of 40644 are 2, 3, 1129. Prime factorization of 40644 in exponential form is:

40644 = 2² × 3² × 1129¹

Step-2: Prime Factorization of 40656

Prime factors of 40656 are 2, 3, 7, 11. Prime factorization of 40656 in exponential form is:

40656 = 2⁴ × 3¹ × 7¹ × 11²

Step-3: Factors of 40644

List of positive integer factors of 40644 that divides 40644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1129, 2258, 3387, 4516, 6774, 10161, 13548, 20322

Step-4: Factors of 40656

List of positive integer factors of 40656 that divides 40644 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 121, 132, 154, 168, 176, 231, 242, 264, 308, 336, 363, 462, 484, 528, 616, 726, 847, 924, 968, 1232, 1452, 1694, 1848, 1936, 2541, 2904, 3388, 3696, 5082, 5808, 6776, 10164, 13552, 20328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40644 and 40656. The biggest common factor number is the GCF number.
So the greatest common factor 40644 and 40656 is 12.

Also check out the Least Common Multiple of 40644 and 40656