What is the Greatest Common Factor of 36714 and 36720?

Greatest common factor (GCF) of 36714 and 36720 is 6.

GCF(36714,36720) = 6

We will now calculate the prime factors of 36714 and 36720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36714 and 36720.

How to find the GCF of 36714 and 36720?

We will first find the prime factorization of 36714 and 36720. After we will calculate the factors of 36714 and 36720 and find the biggest common factor number .

Step-1: Prime Factorization of 36714

Prime factors of 36714 are 2, 3, 29, 211. Prime factorization of 36714 in exponential form is:

36714 = 2¹ × 3¹ × 29¹ × 211¹

Step-2: 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-3: Factors of 36714

List of positive integer factors of 36714 that divides 36714 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 211, 422, 633, 1266, 6119, 12238, 18357

Step-4: Factors of 36720

List of positive integer factors of 36720 that divides 36714 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36714 and 36720. The biggest common factor number is the GCF number.
So the greatest common factor 36714 and 36720 is 6.

Also check out the Least Common Multiple of 36714 and 36720