What is the Greatest Common Factor of 67696 and 67714?

Greatest common factor (GCF) of 67696 and 67714 is 2.

GCF(67696,67714) = 2

We will now calculate the prime factors of 67696 and 67714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67696 and 67714.

How to find the GCF of 67696 and 67714?

We will first find the prime factorization of 67696 and 67714. After we will calculate the factors of 67696 and 67714 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 67714

Prime factors of 67714 are 2, 33857. Prime factorization of 67714 in exponential form is:

67714 = 2¹ × 33857¹

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 67714

List of positive integer factors of 67714 that divides 67696 without a remainder.

1, 2, 33857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67696 and 67714. The biggest common factor number is the GCF number.
So the greatest common factor 67696 and 67714 is 2.

Also check out the Least Common Multiple of 67696 and 67714