What is the Greatest Common Factor of 67928 and 67935?

Greatest common factor (GCF) of 67928 and 67935 is 7.

GCF(67928,67935) = 7

We will now calculate the prime factors of 67928 and 67935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67928 and 67935.

How to find the GCF of 67928 and 67935?

We will first find the prime factorization of 67928 and 67935. After we will calculate the factors of 67928 and 67935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67935

Prime factors of 67935 are 3, 5, 7, 647. Prime factorization of 67935 in exponential form is:

67935 = 3¹ × 5¹ × 7¹ × 647¹

Step-3: Factors of 67928

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

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

Step-4: Factors of 67935

List of positive integer factors of 67935 that divides 67928 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 647, 1941, 3235, 4529, 9705, 13587, 22645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67928 and 67935. The biggest common factor number is the GCF number.
So the greatest common factor 67928 and 67935 is 7.

Also check out the Least Common Multiple of 67928 and 67935