What is the Greatest Common Factor of 48108 and 48120?

Greatest common factor (GCF) of 48108 and 48120 is 12.

GCF(48108,48120) = 12

We will now calculate the prime factors of 48108 and 48120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48108 and 48120.

How to find the GCF of 48108 and 48120?

We will first find the prime factorization of 48108 and 48120. After we will calculate the factors of 48108 and 48120 and find the biggest common factor number .

Step-1: Prime Factorization of 48108

Prime factors of 48108 are 2, 3, 19, 211. Prime factorization of 48108 in exponential form is:

48108 = 2² × 3¹ × 19¹ × 211¹

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 48108

List of positive integer factors of 48108 that divides 48108 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 211, 228, 422, 633, 844, 1266, 2532, 4009, 8018, 12027, 16036, 24054

Step-4: Factors of 48120

List of positive integer factors of 48120 that divides 48108 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 48108 and 48120. The biggest common factor number is the GCF number.
So the greatest common factor 48108 and 48120 is 12.

Also check out the Least Common Multiple of 48108 and 48120