What is the Greatest Common Factor of 67172 and 67186?

Greatest common factor (GCF) of 67172 and 67186 is 14.

GCF(67172,67186) = 14

We will now calculate the prime factors of 67172 and 67186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67172 and 67186.

How to find the GCF of 67172 and 67186?

We will first find the prime factorization of 67172 and 67186. After we will calculate the factors of 67172 and 67186 and find the biggest common factor number .

Step-1: Prime Factorization of 67172

Prime factors of 67172 are 2, 7, 2399. Prime factorization of 67172 in exponential form is:

67172 = 2² × 7¹ × 2399¹

Step-2: Prime Factorization of 67186

Prime factors of 67186 are 2, 7, 4799. Prime factorization of 67186 in exponential form is:

67186 = 2¹ × 7¹ × 4799¹

Step-3: Factors of 67172

List of positive integer factors of 67172 that divides 67172 without a remainder.

1, 2, 4, 7, 14, 28, 2399, 4798, 9596, 16793, 33586

Step-4: Factors of 67186

List of positive integer factors of 67186 that divides 67172 without a remainder.

1, 2, 7, 14, 4799, 9598, 33593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67172 and 67186. The biggest common factor number is the GCF number.
So the greatest common factor 67172 and 67186 is 14.

Also check out the Least Common Multiple of 67172 and 67186