What is the Greatest Common Factor of 60138 and 60158?

Greatest common factor (GCF) of 60138 and 60158 is 2.

GCF(60138,60158) = 2

We will now calculate the prime factors of 60138 and 60158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60138 and 60158.

How to find the GCF of 60138 and 60158?

We will first find the prime factorization of 60138 and 60158. After we will calculate the factors of 60138 and 60158 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 60158

Prime factors of 60158 are 2, 7, 4297. Prime factorization of 60158 in exponential form is:

60158 = 2¹ × 7¹ × 4297¹

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 60158

List of positive integer factors of 60158 that divides 60138 without a remainder.

1, 2, 7, 14, 4297, 8594, 30079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60138 and 60158. The biggest common factor number is the GCF number.
So the greatest common factor 60138 and 60158 is 2.

Also check out the Least Common Multiple of 60138 and 60158