What is the Greatest Common Factor of 60138 and 60147?

Greatest common factor (GCF) of 60138 and 60147 is 9.

GCF(60138,60147) = 9

We will now calculate the prime factors of 60138 and 60147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60138 and 60147.

How to find the GCF of 60138 and 60147?

We will first find the prime factorization of 60138 and 60147. After we will calculate the factors of 60138 and 60147 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 60147

Prime factors of 60147 are 3, 41, 163. Prime factorization of 60147 in exponential form is:

60147 = 3² × 41¹ × 163¹

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 60147

List of positive integer factors of 60147 that divides 60138 without a remainder.

1, 3, 9, 41, 123, 163, 369, 489, 1467, 6683, 20049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60138 and 60147. The biggest common factor number is the GCF number.
So the greatest common factor 60138 and 60147 is 9.

Also check out the Least Common Multiple of 60138 and 60147