What is the Greatest Common Factor of 36144 and 36152?

Greatest common factor (GCF) of 36144 and 36152 is 8.

GCF(36144,36152) = 8

We will now calculate the prime factors of 36144 and 36152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36144 and 36152.

How to find the GCF of 36144 and 36152?

We will first find the prime factorization of 36144 and 36152. After we will calculate the factors of 36144 and 36152 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 36152

Prime factors of 36152 are 2, 4519. Prime factorization of 36152 in exponential form is:

36152 = 2³ × 4519¹

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 36152

List of positive integer factors of 36152 that divides 36144 without a remainder.

1, 2, 4, 8, 4519, 9038, 18076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36144 and 36152. The biggest common factor number is the GCF number.
So the greatest common factor 36144 and 36152 is 8.

Also check out the Least Common Multiple of 36144 and 36152