What is the Greatest Common Factor of 67908 and 67928?

Greatest common factor (GCF) of 67908 and 67928 is 4.

GCF(67908,67928) = 4

We will now calculate the prime factors of 67908 and 67928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67908 and 67928.

How to find the GCF of 67908 and 67928?

We will first find the prime factorization of 67908 and 67928. After we will calculate the factors of 67908 and 67928 and find the biggest common factor number .

Step-1: Prime Factorization of 67908

Prime factors of 67908 are 2, 3, 5659. Prime factorization of 67908 in exponential form is:

67908 = 2² × 3¹ × 5659¹

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 67908

List of positive integer factors of 67908 that divides 67908 without a remainder.

1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954

Step-4: Factors of 67928

List of positive integer factors of 67928 that divides 67908 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 67908 and 67928. The biggest common factor number is the GCF number.
So the greatest common factor 67908 and 67928 is 4.

Also check out the Least Common Multiple of 67908 and 67928