What is the Greatest Common Factor of 36720 and 36739?

Greatest common factor (GCF) of 36720 and 36739 is 1.

GCF(36720,36739) = 1

We will now calculate the prime factors of 36720 and 36739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36720 and 36739.

How to find the GCF of 36720 and 36739?

We will first find the prime factorization of 36720 and 36739. After we will calculate the factors of 36720 and 36739 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 36739

Prime factors of 36739 are 36739. Prime factorization of 36739 in exponential form is:

36739 = 36739¹

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 36739

List of positive integer factors of 36739 that divides 36720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36720 and 36739. The biggest common factor number is the GCF number.
So the greatest common factor 36720 and 36739 is 1.

Also check out the Least Common Multiple of 36720 and 36739