What is the Greatest Common Factor of 36144 and 36156?

Greatest common factor (GCF) of 36144 and 36156 is 12.

GCF(36144,36156) = 12

We will now calculate the prime factors of 36144 and 36156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36144 and 36156.

How to find the GCF of 36144 and 36156?

We will first find the prime factorization of 36144 and 36156. After we will calculate the factors of 36144 and 36156 and find the biggest common factor number .

Step-1: Prime Factorization of 36144

Prime factors of 36144 are 2, 3, 251. Prime factorization of 36144 in exponential form is:

36144 = 2⁴ × 3² × 251¹

Step-2: Prime Factorization of 36156

Prime factors of 36156 are 2, 3, 23, 131. Prime factorization of 36156 in exponential form is:

36156 = 2² × 3¹ × 23¹ × 131¹

Step-3: Factors of 36144

List of positive integer factors of 36144 that divides 36144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 9036, 12048, 18072

Step-4: Factors of 36156

List of positive integer factors of 36156 that divides 36144 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 131, 138, 262, 276, 393, 524, 786, 1572, 3013, 6026, 9039, 12052, 18078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36144 and 36156. The biggest common factor number is the GCF number.
So the greatest common factor 36144 and 36156 is 12.

Also check out the Least Common Multiple of 36144 and 36156