What is the Greatest Common Factor of 63171 and 63186?

Greatest common factor (GCF) of 63171 and 63186 is 3.

GCF(63171,63186) = 3

We will now calculate the prime factors of 63171 and 63186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63171 and 63186.

How to find the GCF of 63171 and 63186?

We will first find the prime factorization of 63171 and 63186. After we will calculate the factors of 63171 and 63186 and find the biggest common factor number .

Step-1: Prime Factorization of 63171

Prime factors of 63171 are 3, 7019. Prime factorization of 63171 in exponential form is:

63171 = 3² × 7019¹

Step-2: Prime Factorization of 63186

Prime factors of 63186 are 2, 3, 10531. Prime factorization of 63186 in exponential form is:

63186 = 2¹ × 3¹ × 10531¹

Step-3: Factors of 63171

List of positive integer factors of 63171 that divides 63171 without a remainder.

1, 3, 9, 7019, 21057

Step-4: Factors of 63186

List of positive integer factors of 63186 that divides 63171 without a remainder.

1, 2, 3, 6, 10531, 21062, 31593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63171 and 63186. The biggest common factor number is the GCF number.
So the greatest common factor 63171 and 63186 is 3.

Also check out the Least Common Multiple of 63171 and 63186