What is the Greatest Common Factor of 67696 and 67712?

Greatest common factor (GCF) of 67696 and 67712 is 16.

GCF(67696,67712) = 16

We will now calculate the prime factors of 67696 and 67712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67696 and 67712.

How to find the GCF of 67696 and 67712?

We will first find the prime factorization of 67696 and 67712. After we will calculate the factors of 67696 and 67712 and find the biggest common factor number .

Step-1: Prime Factorization of 67696

Prime factors of 67696 are 2, 4231. Prime factorization of 67696 in exponential form is:

67696 = 2⁴ × 4231¹

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 67696

List of positive integer factors of 67696 that divides 67696 without a remainder.

1, 2, 4, 8, 16, 4231, 8462, 16924, 33848

Step-4: Factors of 67712

List of positive integer factors of 67712 that divides 67696 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 67696 and 67712. The biggest common factor number is the GCF number.
So the greatest common factor 67696 and 67712 is 16.

Also check out the Least Common Multiple of 67696 and 67712