What is the Greatest Common Factor of 36144 and 36159?

Greatest common factor (GCF) of 36144 and 36159 is 3.

GCF(36144,36159) = 3

We will now calculate the prime factors of 36144 and 36159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36144 and 36159.

How to find the GCF of 36144 and 36159?

We will first find the prime factorization of 36144 and 36159. After we will calculate the factors of 36144 and 36159 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 36159

Prime factors of 36159 are 3, 17, 709. Prime factorization of 36159 in exponential form is:

36159 = 3¹ × 17¹ × 709¹

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 36159

List of positive integer factors of 36159 that divides 36144 without a remainder.

1, 3, 17, 51, 709, 2127, 12053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36144 and 36159. The biggest common factor number is the GCF number.
So the greatest common factor 36144 and 36159 is 3.

Also check out the Least Common Multiple of 36144 and 36159