What is the Greatest Common Factor of 63158 and 63176?

Greatest common factor (GCF) of 63158 and 63176 is 2.

GCF(63158,63176) = 2

We will now calculate the prime factors of 63158 and 63176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63158 and 63176.

How to find the GCF of 63158 and 63176?

We will first find the prime factorization of 63158 and 63176. After we will calculate the factors of 63158 and 63176 and find the biggest common factor number .

Step-1: Prime Factorization of 63158

Prime factors of 63158 are 2, 23, 1373. Prime factorization of 63158 in exponential form is:

63158 = 2¹ × 23¹ × 1373¹

Step-2: Prime Factorization of 63176

Prime factors of 63176 are 2, 53, 149. Prime factorization of 63176 in exponential form is:

63176 = 2³ × 53¹ × 149¹

Step-3: Factors of 63158

List of positive integer factors of 63158 that divides 63158 without a remainder.

1, 2, 23, 46, 1373, 2746, 31579

Step-4: Factors of 63176

List of positive integer factors of 63176 that divides 63158 without a remainder.

1, 2, 4, 8, 53, 106, 149, 212, 298, 424, 596, 1192, 7897, 15794, 31588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63158 and 63176. The biggest common factor number is the GCF number.
So the greatest common factor 63158 and 63176 is 2.

Also check out the Least Common Multiple of 63158 and 63176