What is the Greatest Common Factor of 48138 and 48142?

Greatest common factor (GCF) of 48138 and 48142 is 2.

GCF(48138,48142) = 2

We will now calculate the prime factors of 48138 and 48142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48138 and 48142.

How to find the GCF of 48138 and 48142?

We will first find the prime factorization of 48138 and 48142. After we will calculate the factors of 48138 and 48142 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 48142

Prime factors of 48142 are 2, 24071. Prime factorization of 48142 in exponential form is:

48142 = 2¹ × 24071¹

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 48142

List of positive integer factors of 48142 that divides 48138 without a remainder.

1, 2, 24071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48138 and 48142. The biggest common factor number is the GCF number.
So the greatest common factor 48138 and 48142 is 2.

Also check out the Least Common Multiple of 48138 and 48142