What is the Greatest Common Factor of 63138 and 63157?

Greatest common factor (GCF) of 63138 and 63157 is 1.

GCF(63138,63157) = 1

We will now calculate the prime factors of 63138 and 63157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63138 and 63157.

How to find the GCF of 63138 and 63157?

We will first find the prime factorization of 63138 and 63157. After we will calculate the factors of 63138 and 63157 and find the biggest common factor number .

Step-1: Prime Factorization of 63138

Prime factors of 63138 are 2, 3, 17, 619. Prime factorization of 63138 in exponential form is:

63138 = 2¹ × 3¹ × 17¹ × 619¹

Step-2: Prime Factorization of 63157

Prime factors of 63157 are 137, 461. Prime factorization of 63157 in exponential form is:

63157 = 137¹ × 461¹

Step-3: Factors of 63138

List of positive integer factors of 63138 that divides 63138 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 619, 1238, 1857, 3714, 10523, 21046, 31569

Step-4: Factors of 63157

List of positive integer factors of 63157 that divides 63138 without a remainder.

1, 137, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63138 and 63157. The biggest common factor number is the GCF number.
So the greatest common factor 63138 and 63157 is 1.

Also check out the Least Common Multiple of 63138 and 63157