What is the Greatest Common Factor of 40656 and 40664?

Greatest common factor (GCF) of 40656 and 40664 is 8.

GCF(40656,40664) = 8

We will now calculate the prime factors of 40656 and 40664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40656 and 40664.

How to find the GCF of 40656 and 40664?

We will first find the prime factorization of 40656 and 40664. After we will calculate the factors of 40656 and 40664 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40664

Prime factors of 40664 are 2, 13, 17, 23. Prime factorization of 40664 in exponential form is:

40664 = 2³ × 13¹ × 17¹ × 23¹

Step-3: Factors of 40656

List of positive integer factors of 40656 that divides 40656 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

Step-4: Factors of 40664

List of positive integer factors of 40664 that divides 40656 without a remainder.

1, 2, 4, 8, 13, 17, 23, 26, 34, 46, 52, 68, 92, 104, 136, 184, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 1768, 2392, 3128, 5083, 10166, 20332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40656 and 40664. The biggest common factor number is the GCF number.
So the greatest common factor 40656 and 40664 is 8.

Also check out the Least Common Multiple of 40656 and 40664