What is the Greatest Common Factor of 40964 and 40971?

Greatest common factor (GCF) of 40964 and 40971 is 7.

GCF(40964,40971) = 7

We will now calculate the prime factors of 40964 and 40971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40964 and 40971.

How to find the GCF of 40964 and 40971?

We will first find the prime factorization of 40964 and 40971. After we will calculate the factors of 40964 and 40971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40971

Prime factors of 40971 are 3, 7, 1951. Prime factorization of 40971 in exponential form is:

40971 = 3¹ × 7¹ × 1951¹

Step-3: Factors of 40964

List of positive integer factors of 40964 that divides 40964 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

Step-4: Factors of 40971

List of positive integer factors of 40971 that divides 40964 without a remainder.

1, 3, 7, 21, 1951, 5853, 13657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40964 and 40971. The biggest common factor number is the GCF number.
So the greatest common factor 40964 and 40971 is 7.

Also check out the Least Common Multiple of 40964 and 40971