What is the Greatest Common Factor of 48102 and 48120?

Greatest common factor (GCF) of 48102 and 48120 is 6.

GCF(48102,48120) = 6

We will now calculate the prime factors of 48102 and 48120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48102 and 48120.

How to find the GCF of 48102 and 48120?

We will first find the prime factorization of 48102 and 48120. After we will calculate the factors of 48102 and 48120 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 48120

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

48120 = 2³ × 3¹ × 5¹ × 401¹

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 48120

List of positive integer factors of 48120 that divides 48102 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48102 and 48120. The biggest common factor number is the GCF number.
So the greatest common factor 48102 and 48120 is 6.

Also check out the Least Common Multiple of 48102 and 48120