What is the Greatest Common Factor of 40656 and 40667?

Greatest common factor (GCF) of 40656 and 40667 is 11.

GCF(40656,40667) = 11

We will now calculate the prime factors of 40656 and 40667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40656 and 40667.

How to find the GCF of 40656 and 40667?

We will first find the prime factorization of 40656 and 40667. After we will calculate the factors of 40656 and 40667 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 40667

Prime factors of 40667 are 11, 3697. Prime factorization of 40667 in exponential form is:

40667 = 11¹ × 3697¹

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 40667

List of positive integer factors of 40667 that divides 40656 without a remainder.

1, 11, 3697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40656 and 40667. The biggest common factor number is the GCF number.
So the greatest common factor 40656 and 40667 is 11.

Also check out the Least Common Multiple of 40656 and 40667