What is the Greatest Common Factor of 37236 and 37248?

Greatest common factor (GCF) of 37236 and 37248 is 12.

GCF(37236,37248) = 12

We will now calculate the prime factors of 37236 and 37248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37236 and 37248.

How to find the GCF of 37236 and 37248?

We will first find the prime factorization of 37236 and 37248. After we will calculate the factors of 37236 and 37248 and find the biggest common factor number .

Step-1: Prime Factorization of 37236

Prime factors of 37236 are 2, 3, 29, 107. Prime factorization of 37236 in exponential form is:

37236 = 2² × 3¹ × 29¹ × 107¹

Step-2: Prime Factorization of 37248

Prime factors of 37248 are 2, 3, 97. Prime factorization of 37248 in exponential form is:

37248 = 2⁷ × 3¹ × 97¹

Step-3: Factors of 37236

List of positive integer factors of 37236 that divides 37236 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 107, 116, 174, 214, 321, 348, 428, 642, 1284, 3103, 6206, 9309, 12412, 18618

Step-4: Factors of 37248

List of positive integer factors of 37248 that divides 37236 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192, 194, 291, 384, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312, 12416, 18624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37236 and 37248. The biggest common factor number is the GCF number.
So the greatest common factor 37236 and 37248 is 12.

Also check out the Least Common Multiple of 37236 and 37248