What is the Greatest Common Factor of 36744 and 36750?

Greatest common factor (GCF) of 36744 and 36750 is 6.

GCF(36744,36750) = 6

We will now calculate the prime factors of 36744 and 36750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36744 and 36750.

How to find the GCF of 36744 and 36750?

We will first find the prime factorization of 36744 and 36750. After we will calculate the factors of 36744 and 36750 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 36750

Prime factors of 36750 are 2, 3, 5, 7. Prime factorization of 36750 in exponential form is:

36750 = 2¹ × 3¹ × 5³ × 7²

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 36750

List of positive integer factors of 36750 that divides 36744 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 125, 147, 150, 175, 210, 245, 250, 294, 350, 375, 490, 525, 735, 750, 875, 1050, 1225, 1470, 1750, 2450, 2625, 3675, 5250, 6125, 7350, 12250, 18375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36744 and 36750. The biggest common factor number is the GCF number.
So the greatest common factor 36744 and 36750 is 6.

Also check out the Least Common Multiple of 36744 and 36750