What is the Greatest Common Factor of 63125 and 63139?

Greatest common factor (GCF) of 63125 and 63139 is 1.

GCF(63125,63139) = 1

We will now calculate the prime factors of 63125 and 63139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63125 and 63139.

How to find the GCF of 63125 and 63139?

We will first find the prime factorization of 63125 and 63139. After we will calculate the factors of 63125 and 63139 and find the biggest common factor number .

Step-1: Prime Factorization of 63125

Prime factors of 63125 are 5, 101. Prime factorization of 63125 in exponential form is:

63125 = 5⁴ × 101¹

Step-2: Prime Factorization of 63139

Prime factors of 63139 are 103, 613. Prime factorization of 63139 in exponential form is:

63139 = 103¹ × 613¹

Step-3: Factors of 63125

List of positive integer factors of 63125 that divides 63125 without a remainder.

1, 5, 25, 101, 125, 505, 625, 2525, 12625

Step-4: Factors of 63139

List of positive integer factors of 63139 that divides 63125 without a remainder.

1, 103, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63125 and 63139. The biggest common factor number is the GCF number.
So the greatest common factor 63125 and 63139 is 1.

Also check out the Least Common Multiple of 63125 and 63139