What is the Greatest Common Factor of 48138 and 48150?

Greatest common factor (GCF) of 48138 and 48150 is 6.

GCF(48138,48150) = 6

We will now calculate the prime factors of 48138 and 48150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48138 and 48150.

How to find the GCF of 48138 and 48150?

We will first find the prime factorization of 48138 and 48150. After we will calculate the factors of 48138 and 48150 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 48150

Prime factors of 48150 are 2, 3, 5, 107. Prime factorization of 48150 in exponential form is:

48150 = 2¹ × 3² × 5² × 107¹

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 48150

List of positive integer factors of 48150 that divides 48138 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107, 150, 214, 225, 321, 450, 535, 642, 963, 1070, 1605, 1926, 2675, 3210, 4815, 5350, 8025, 9630, 16050, 24075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48138 and 48150. The biggest common factor number is the GCF number.
So the greatest common factor 48138 and 48150 is 6.

Also check out the Least Common Multiple of 48138 and 48150