What is the Greatest Common Factor of 40964 and 40978?

Greatest common factor (GCF) of 40964 and 40978 is 14.

GCF(40964,40978) = 14

We will now calculate the prime factors of 40964 and 40978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40964 and 40978.

How to find the GCF of 40964 and 40978?

We will first find the prime factorization of 40964 and 40978. After we will calculate the factors of 40964 and 40978 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 40978

Prime factors of 40978 are 2, 7, 2927. Prime factorization of 40978 in exponential form is:

40978 = 2¹ × 7¹ × 2927¹

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 40978

List of positive integer factors of 40978 that divides 40964 without a remainder.

1, 2, 7, 14, 2927, 5854, 20489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40964 and 40978. The biggest common factor number is the GCF number.
So the greatest common factor 40964 and 40978 is 14.

Also check out the Least Common Multiple of 40964 and 40978