What is the Greatest Common Factor of 68125 and 68139?

Greatest common factor (GCF) of 68125 and 68139 is 1.

GCF(68125,68139) = 1

We will now calculate the prime factors of 68125 and 68139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68125 and 68139.

How to find the GCF of 68125 and 68139?

We will first find the prime factorization of 68125 and 68139. After we will calculate the factors of 68125 and 68139 and find the biggest common factor number .

Step-1: Prime Factorization of 68125

Prime factors of 68125 are 5, 109. Prime factorization of 68125 in exponential form is:

68125 = 5⁴ × 109¹

Step-2: Prime Factorization of 68139

Prime factors of 68139 are 3, 67, 113. Prime factorization of 68139 in exponential form is:

68139 = 3² × 67¹ × 113¹

Step-3: Factors of 68125

List of positive integer factors of 68125 that divides 68125 without a remainder.

1, 5, 25, 109, 125, 545, 625, 2725, 13625

Step-4: Factors of 68139

List of positive integer factors of 68139 that divides 68125 without a remainder.

1, 3, 9, 67, 113, 201, 339, 603, 1017, 7571, 22713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68125 and 68139. The biggest common factor number is the GCF number.
So the greatest common factor 68125 and 68139 is 1.

Also check out the Least Common Multiple of 68125 and 68139