What is the Greatest Common Factor of 67916 and 67928?

Greatest common factor (GCF) of 67916 and 67928 is 4.

GCF(67916,67928) = 4

We will now calculate the prime factors of 67916 and 67928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67916 and 67928.

How to find the GCF of 67916 and 67928?

We will first find the prime factorization of 67916 and 67928. After we will calculate the factors of 67916 and 67928 and find the biggest common factor number .

Step-1: Prime Factorization of 67916

Prime factors of 67916 are 2, 16979. Prime factorization of 67916 in exponential form is:

67916 = 2² × 16979¹

Step-2: Prime Factorization of 67928

Prime factors of 67928 are 2, 7, 1213. Prime factorization of 67928 in exponential form is:

67928 = 2³ × 7¹ × 1213¹

Step-3: Factors of 67916

List of positive integer factors of 67916 that divides 67916 without a remainder.

1, 2, 4, 16979, 33958

Step-4: Factors of 67928

List of positive integer factors of 67928 that divides 67916 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1213, 2426, 4852, 8491, 9704, 16982, 33964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67916 and 67928. The biggest common factor number is the GCF number.
So the greatest common factor 67916 and 67928 is 4.

Also check out the Least Common Multiple of 67916 and 67928