What is the Greatest Common Factor of 48144 and 48156?

Greatest common factor (GCF) of 48144 and 48156 is 12.

GCF(48144,48156) = 12

We will now calculate the prime factors of 48144 and 48156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48144 and 48156.

How to find the GCF of 48144 and 48156?

We will first find the prime factorization of 48144 and 48156. After we will calculate the factors of 48144 and 48156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48156

Prime factors of 48156 are 2, 3, 4013. Prime factorization of 48156 in exponential form is:

48156 = 2² × 3¹ × 4013¹

Step-3: Factors of 48144

List of positive integer factors of 48144 that divides 48144 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

Step-4: Factors of 48156

List of positive integer factors of 48156 that divides 48144 without a remainder.

1, 2, 3, 4, 6, 12, 4013, 8026, 12039, 16052, 24078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48144 and 48156. The biggest common factor number is the GCF number.
So the greatest common factor 48144 and 48156 is 12.

Also check out the Least Common Multiple of 48144 and 48156