What is the Greatest Common Factor of 48120 and 48138?

Greatest common factor (GCF) of 48120 and 48138 is 6.

GCF(48120,48138) = 6

We will now calculate the prime factors of 48120 and 48138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48120 and 48138.

How to find the GCF of 48120 and 48138?

We will first find the prime factorization of 48120 and 48138. After we will calculate the factors of 48120 and 48138 and find the biggest common factor number .

Step-1: Prime Factorization of 48120

Prime factors of 48120 are 2, 3, 5, 401. Prime factorization of 48120 in exponential form is:

48120 = 2³ × 3¹ × 5¹ × 401¹

Step-2: 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-3: Factors of 48120

List of positive integer factors of 48120 that divides 48120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 401, 802, 1203, 1604, 2005, 2406, 3208, 4010, 4812, 6015, 8020, 9624, 12030, 16040, 24060

Step-4: Factors of 48138

List of positive integer factors of 48138 that divides 48120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48120 and 48138. The biggest common factor number is the GCF number.
So the greatest common factor 48120 and 48138 is 6.

Also check out the Least Common Multiple of 48120 and 48138