What is the Greatest Common Factor of 48102 and 48122?

Greatest common factor (GCF) of 48102 and 48122 is 2.

GCF(48102,48122) = 2

We will now calculate the prime factors of 48102 and 48122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48102 and 48122.

How to find the GCF of 48102 and 48122?

We will first find the prime factorization of 48102 and 48122. After we will calculate the factors of 48102 and 48122 and find the biggest common factor number .

Step-1: Prime Factorization of 48102

Prime factors of 48102 are 2, 3, 8017. Prime factorization of 48102 in exponential form is:

48102 = 2¹ × 3¹ × 8017¹

Step-2: Prime Factorization of 48122

Prime factors of 48122 are 2, 24061. Prime factorization of 48122 in exponential form is:

48122 = 2¹ × 24061¹

Step-3: Factors of 48102

List of positive integer factors of 48102 that divides 48102 without a remainder.

1, 2, 3, 6, 8017, 16034, 24051

Step-4: Factors of 48122

List of positive integer factors of 48122 that divides 48102 without a remainder.

1, 2, 24061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48102 and 48122. The biggest common factor number is the GCF number.
So the greatest common factor 48102 and 48122 is 2.

Also check out the Least Common Multiple of 48102 and 48122