What is the Greatest Common Factor of 48138 and 48157?

Greatest common factor (GCF) of 48138 and 48157 is 1.

GCF(48138,48157) = 1

We will now calculate the prime factors of 48138 and 48157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48138 and 48157.

How to find the GCF of 48138 and 48157?

We will first find the prime factorization of 48138 and 48157. After we will calculate the factors of 48138 and 48157 and find the biggest common factor number .

Step-1: Prime Factorization of 48138

Prime factors of 48138 are 2, 3, 71, 113. Prime factorization of 48138 in exponential form is:

48138 = 2¹ × 3¹ × 71¹ × 113¹

Step-2: Prime Factorization of 48157

Prime factors of 48157 are 48157. Prime factorization of 48157 in exponential form is:

48157 = 48157¹

Step-3: Factors of 48138

List of positive integer factors of 48138 that divides 48138 without a remainder.

1, 2, 3, 6, 71, 113, 142, 213, 226, 339, 426, 678, 8023, 16046, 24069

Step-4: Factors of 48157

List of positive integer factors of 48157 that divides 48138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48138 and 48157. The biggest common factor number is the GCF number.
So the greatest common factor 48138 and 48157 is 1.

Also check out the Least Common Multiple of 48138 and 48157