What is the Greatest Common Factor of 67708 and 67712?

Greatest common factor (GCF) of 67708 and 67712 is 4.

GCF(67708,67712) = 4

We will now calculate the prime factors of 67708 and 67712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67708 and 67712.

How to find the GCF of 67708 and 67712?

We will first find the prime factorization of 67708 and 67712. After we will calculate the factors of 67708 and 67712 and find the biggest common factor number .

Step-1: Prime Factorization of 67708

Prime factors of 67708 are 2, 16927. Prime factorization of 67708 in exponential form is:

67708 = 2² × 16927¹

Step-2: Prime Factorization of 67712

Prime factors of 67712 are 2, 23. Prime factorization of 67712 in exponential form is:

67712 = 2⁷ × 23²

Step-3: Factors of 67708

List of positive integer factors of 67708 that divides 67708 without a remainder.

1, 2, 4, 16927, 33854

Step-4: Factors of 67712

List of positive integer factors of 67712 that divides 67708 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 529, 736, 1058, 1472, 2116, 2944, 4232, 8464, 16928, 33856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67708 and 67712. The biggest common factor number is the GCF number.
So the greatest common factor 67708 and 67712 is 4.

Also check out the Least Common Multiple of 67708 and 67712