What is the Greatest Common Factor of 36144 and 36148?

Greatest common factor (GCF) of 36144 and 36148 is 4.

GCF(36144,36148) = 4

We will now calculate the prime factors of 36144 and 36148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36144 and 36148.

How to find the GCF of 36144 and 36148?

We will first find the prime factorization of 36144 and 36148. After we will calculate the factors of 36144 and 36148 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 36148

Prime factors of 36148 are 2, 7, 1291. Prime factorization of 36148 in exponential form is:

36148 = 2² × 7¹ × 1291¹

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 36148

List of positive integer factors of 36148 that divides 36144 without a remainder.

1, 2, 4, 7, 14, 28, 1291, 2582, 5164, 9037, 18074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36144 and 36148. The biggest common factor number is the GCF number.
So the greatest common factor 36144 and 36148 is 4.

Also check out the Least Common Multiple of 36144 and 36148