What is the Greatest Common Factor of 36660 and 36665?

Greatest common factor (GCF) of 36660 and 36665 is 5.

GCF(36660,36665) = 5

We will now calculate the prime factors of 36660 and 36665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36660 and 36665.

How to find the GCF of 36660 and 36665?

We will first find the prime factorization of 36660 and 36665. After we will calculate the factors of 36660 and 36665 and find the biggest common factor number .

Step-1: Prime Factorization of 36660

Prime factors of 36660 are 2, 3, 5, 13, 47. Prime factorization of 36660 in exponential form is:

36660 = 2² × 3¹ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 36665

Prime factors of 36665 are 5, 7333. Prime factorization of 36665 in exponential form is:

36665 = 5¹ × 7333¹

Step-3: Factors of 36660

List of positive integer factors of 36660 that divides 36660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 47, 52, 60, 65, 78, 94, 130, 141, 156, 188, 195, 235, 260, 282, 390, 470, 564, 611, 705, 780, 940, 1222, 1410, 1833, 2444, 2820, 3055, 3666, 6110, 7332, 9165, 12220, 18330

Step-4: Factors of 36665

List of positive integer factors of 36665 that divides 36660 without a remainder.

1, 5, 7333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36660 and 36665. The biggest common factor number is the GCF number.
So the greatest common factor 36660 and 36665 is 5.

Also check out the Least Common Multiple of 36660 and 36665