What is the Greatest Common Factor of 48114 and 48132?

Greatest common factor (GCF) of 48114 and 48132 is 18.

GCF(48114,48132) = 18

We will now calculate the prime factors of 48114 and 48132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48114 and 48132.

How to find the GCF of 48114 and 48132?

We will first find the prime factorization of 48114 and 48132. After we will calculate the factors of 48114 and 48132 and find the biggest common factor number .

Step-1: Prime Factorization of 48114

Prime factors of 48114 are 2, 3, 11. Prime factorization of 48114 in exponential form is:

48114 = 2¹ × 3⁷ × 11¹

Step-2: Prime Factorization of 48132

Prime factors of 48132 are 2, 3, 7, 191. Prime factorization of 48132 in exponential form is:

48132 = 2² × 3² × 7¹ × 191¹

Step-3: Factors of 48114

List of positive integer factors of 48114 that divides 48114 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2187, 2673, 4374, 5346, 8019, 16038, 24057

Step-4: Factors of 48132

List of positive integer factors of 48132 that divides 48114 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 191, 252, 382, 573, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5348, 6876, 8022, 12033, 16044, 24066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48114 and 48132. The biggest common factor number is the GCF number.
So the greatest common factor 48114 and 48132 is 18.

Also check out the Least Common Multiple of 48114 and 48132