What is the Greatest Common Factor of 48138 and 48156?

Greatest common factor (GCF) of 48138 and 48156 is 6.

GCF(48138,48156) = 6

We will now calculate the prime factors of 48138 and 48156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48138 and 48156.

How to find the GCF of 48138 and 48156?

We will first find the prime factorization of 48138 and 48156. After we will calculate the factors of 48138 and 48156 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 48156

Prime factors of 48156 are 2, 3, 4013. Prime factorization of 48156 in exponential form is:

48156 = 2² × 3¹ × 4013¹

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 48156

List of positive integer factors of 48156 that divides 48138 without a remainder.

1, 2, 3, 4, 6, 12, 4013, 8026, 12039, 16052, 24078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48138 and 48156. The biggest common factor number is the GCF number.
So the greatest common factor 48138 and 48156 is 6.

Also check out the Least Common Multiple of 48138 and 48156