What is the Greatest Common Factor of 36732 and 36744?

Greatest common factor (GCF) of 36732 and 36744 is 12.

GCF(36732,36744) = 12

We will now calculate the prime factors of 36732 and 36744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36732 and 36744.

How to find the GCF of 36732 and 36744?

We will first find the prime factorization of 36732 and 36744. After we will calculate the factors of 36732 and 36744 and find the biggest common factor number .

Step-1: Prime Factorization of 36732

Prime factors of 36732 are 2, 3, 3061. Prime factorization of 36732 in exponential form is:

36732 = 2² × 3¹ × 3061¹

Step-2: Prime Factorization of 36744

Prime factors of 36744 are 2, 3, 1531. Prime factorization of 36744 in exponential form is:

36744 = 2³ × 3¹ × 1531¹

Step-3: Factors of 36732

List of positive integer factors of 36732 that divides 36732 without a remainder.

1, 2, 3, 4, 6, 12, 3061, 6122, 9183, 12244, 18366

Step-4: Factors of 36744

List of positive integer factors of 36744 that divides 36732 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1531, 3062, 4593, 6124, 9186, 12248, 18372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36732 and 36744. The biggest common factor number is the GCF number.
So the greatest common factor 36732 and 36744 is 12.

Also check out the Least Common Multiple of 36732 and 36744