What is the Greatest Common Factor of 63158 and 63166?

Greatest common factor (GCF) of 63158 and 63166 is 2.

GCF(63158,63166) = 2

We will now calculate the prime factors of 63158 and 63166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63158 and 63166.

How to find the GCF of 63158 and 63166?

We will first find the prime factorization of 63158 and 63166. After we will calculate the factors of 63158 and 63166 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 63166

Prime factors of 63166 are 2, 31583. Prime factorization of 63166 in exponential form is:

63166 = 2¹ × 31583¹

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 63166

List of positive integer factors of 63166 that divides 63158 without a remainder.

1, 2, 31583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63158 and 63166. The biggest common factor number is the GCF number.
So the greatest common factor 63158 and 63166 is 2.

Also check out the Least Common Multiple of 63158 and 63166