What is the Greatest Common Factor of 60125 and 60138?

Greatest common factor (GCF) of 60125 and 60138 is 13.

GCF(60125,60138) = 13

We will now calculate the prime factors of 60125 and 60138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60125 and 60138.

How to find the GCF of 60125 and 60138?

We will first find the prime factorization of 60125 and 60138. After we will calculate the factors of 60125 and 60138 and find the biggest common factor number .

Step-1: Prime Factorization of 60125

Prime factors of 60125 are 5, 13, 37. Prime factorization of 60125 in exponential form is:

60125 = 5³ × 13¹ × 37¹

Step-2: Prime Factorization of 60138

Prime factors of 60138 are 2, 3, 13, 257. Prime factorization of 60138 in exponential form is:

60138 = 2¹ × 3² × 13¹ × 257¹

Step-3: Factors of 60125

List of positive integer factors of 60125 that divides 60125 without a remainder.

1, 5, 13, 25, 37, 65, 125, 185, 325, 481, 925, 1625, 2405, 4625, 12025

Step-4: Factors of 60138

List of positive integer factors of 60138 that divides 60125 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 257, 514, 771, 1542, 2313, 3341, 4626, 6682, 10023, 20046, 30069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60125 and 60138. The biggest common factor number is the GCF number.
So the greatest common factor 60125 and 60138 is 13.

Also check out the Least Common Multiple of 60125 and 60138