What is the Greatest Common Factor of 48132 and 48144?

Greatest common factor (GCF) of 48132 and 48144 is 12.

GCF(48132,48144) = 12

We will now calculate the prime factors of 48132 and 48144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48132 and 48144.

How to find the GCF of 48132 and 48144?

We will first find the prime factorization of 48132 and 48144. After we will calculate the factors of 48132 and 48144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48144

Prime factors of 48144 are 2, 3, 17, 59. Prime factorization of 48144 in exponential form is:

48144 = 2⁴ × 3¹ × 17¹ × 59¹

Step-3: Factors of 48132

List of positive integer factors of 48132 that divides 48132 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

Step-4: Factors of 48144

List of positive integer factors of 48144 that divides 48132 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 59, 68, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 708, 816, 944, 1003, 1416, 2006, 2832, 3009, 4012, 6018, 8024, 12036, 16048, 24072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48132 and 48144. The biggest common factor number is the GCF number.
So the greatest common factor 48132 and 48144 is 12.

Also check out the Least Common Multiple of 48132 and 48144