What is the Greatest Common Factor of 60138 and 60157?

Greatest common factor (GCF) of 60138 and 60157 is 1.

GCF(60138,60157) = 1

We will now calculate the prime factors of 60138 and 60157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60138 and 60157.

How to find the GCF of 60138 and 60157?

We will first find the prime factorization of 60138 and 60157. After we will calculate the factors of 60138 and 60157 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 60157

Prime factors of 60157 are 43, 1399. Prime factorization of 60157 in exponential form is:

60157 = 43¹ × 1399¹

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 60157

List of positive integer factors of 60157 that divides 60138 without a remainder.

1, 43, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60138 and 60157. The biggest common factor number is the GCF number.
So the greatest common factor 60138 and 60157 is 1.

Also check out the Least Common Multiple of 60138 and 60157