What is the Greatest Common Factor of 40956 and 40964?

Greatest common factor (GCF) of 40956 and 40964 is 4.

GCF(40956,40964) = 4

We will now calculate the prime factors of 40956 and 40964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40956 and 40964.

How to find the GCF of 40956 and 40964?

We will first find the prime factorization of 40956 and 40964. After we will calculate the factors of 40956 and 40964 and find the biggest common factor number .

Step-1: Prime Factorization of 40956

Prime factors of 40956 are 2, 3, 3413. Prime factorization of 40956 in exponential form is:

40956 = 2² × 3¹ × 3413¹

Step-2: Prime Factorization of 40964

Prime factors of 40964 are 2, 7, 11, 19. Prime factorization of 40964 in exponential form is:

40964 = 2² × 7² × 11¹ × 19¹

Step-3: Factors of 40956

List of positive integer factors of 40956 that divides 40956 without a remainder.

1, 2, 3, 4, 6, 12, 3413, 6826, 10239, 13652, 20478

Step-4: Factors of 40964

List of positive integer factors of 40964 that divides 40956 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 49, 76, 77, 98, 133, 154, 196, 209, 266, 308, 418, 532, 539, 836, 931, 1078, 1463, 1862, 2156, 2926, 3724, 5852, 10241, 20482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40956 and 40964. The biggest common factor number is the GCF number.
So the greatest common factor 40956 and 40964 is 4.

Also check out the Least Common Multiple of 40956 and 40964