What is the Greatest Common Factor of 36720 and 36724?

Greatest common factor (GCF) of 36720 and 36724 is 4.

GCF(36720,36724) = 4

We will now calculate the prime factors of 36720 and 36724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36720 and 36724.

How to find the GCF of 36720 and 36724?

We will first find the prime factorization of 36720 and 36724. After we will calculate the factors of 36720 and 36724 and find the biggest common factor number .

Step-1: Prime Factorization of 36720

Prime factors of 36720 are 2, 3, 5, 17. Prime factorization of 36720 in exponential form is:

36720 = 2⁴ × 3³ × 5¹ × 17¹

Step-2: Prime Factorization of 36724

Prime factors of 36724 are 2, 9181. Prime factorization of 36724 in exponential form is:

36724 = 2² × 9181¹

Step-3: Factors of 36720

List of positive integer factors of 36720 that divides 36720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 102, 108, 120, 135, 136, 144, 153, 170, 180, 204, 216, 240, 255, 270, 272, 306, 340, 360, 408, 432, 459, 510, 540, 612, 680, 720, 765, 816, 918, 1020, 1080, 1224, 1360, 1530, 1836, 2040, 2160, 2295, 2448, 3060, 3672, 4080, 4590, 6120, 7344, 9180, 12240, 18360

Step-4: Factors of 36724

List of positive integer factors of 36724 that divides 36720 without a remainder.

1, 2, 4, 9181, 18362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36720 and 36724. The biggest common factor number is the GCF number.
So the greatest common factor 36720 and 36724 is 4.

Also check out the Least Common Multiple of 36720 and 36724