What is the Greatest Common Factor of 60138 and 60151?

Greatest common factor (GCF) of 60138 and 60151 is 13.

GCF(60138,60151) = 13

We will now calculate the prime factors of 60138 and 60151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60138 and 60151.

How to find the GCF of 60138 and 60151?

We will first find the prime factorization of 60138 and 60151. After we will calculate the factors of 60138 and 60151 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60151

Prime factors of 60151 are 7, 13, 661. Prime factorization of 60151 in exponential form is:

60151 = 7¹ × 13¹ × 661¹

Step-3: Factors of 60138

List of positive integer factors of 60138 that divides 60138 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

Step-4: Factors of 60151

List of positive integer factors of 60151 that divides 60138 without a remainder.

1, 7, 13, 91, 661, 4627, 8593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60138 and 60151. The biggest common factor number is the GCF number.
So the greatest common factor 60138 and 60151 is 13.

Also check out the Least Common Multiple of 60138 and 60151