What is the Greatest Common Factor of 40641 and 40656?

Greatest common factor (GCF) of 40641 and 40656 is 3.

GCF(40641,40656) = 3

We will now calculate the prime factors of 40641 and 40656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40641 and 40656.

How to find the GCF of 40641 and 40656?

We will first find the prime factorization of 40641 and 40656. After we will calculate the factors of 40641 and 40656 and find the biggest common factor number .

Step-1: Prime Factorization of 40641

Prime factors of 40641 are 3, 19, 23, 31. Prime factorization of 40641 in exponential form is:

40641 = 3¹ × 19¹ × 23¹ × 31¹

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 40641

List of positive integer factors of 40641 that divides 40641 without a remainder.

1, 3, 19, 23, 31, 57, 69, 93, 437, 589, 713, 1311, 1767, 2139, 13547

Step-4: Factors of 40656

List of positive integer factors of 40656 that divides 40641 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 40641 and 40656. The biggest common factor number is the GCF number.
So the greatest common factor 40641 and 40656 is 3.

Also check out the Least Common Multiple of 40641 and 40656