What is the Greatest Common Factor of 36744 and 36760?

Greatest common factor (GCF) of 36744 and 36760 is 8.

GCF(36744,36760) = 8

We will now calculate the prime factors of 36744 and 36760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36744 and 36760.

How to find the GCF of 36744 and 36760?

We will first find the prime factorization of 36744 and 36760. After we will calculate the factors of 36744 and 36760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36760

Prime factors of 36760 are 2, 5, 919. Prime factorization of 36760 in exponential form is:

36760 = 2³ × 5¹ × 919¹

Step-3: Factors of 36744

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

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

Step-4: Factors of 36760

List of positive integer factors of 36760 that divides 36744 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 919, 1838, 3676, 4595, 7352, 9190, 18380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36744 and 36760. The biggest common factor number is the GCF number.
So the greatest common factor 36744 and 36760 is 8.

Also check out the Least Common Multiple of 36744 and 36760