What is the Greatest Common Factor of 36180 and 36200?

Greatest common factor (GCF) of 36180 and 36200 is 20.

GCF(36180,36200) = 20

We will now calculate the prime factors of 36180 and 36200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36180 and 36200.

How to find the GCF of 36180 and 36200?

We will first find the prime factorization of 36180 and 36200. After we will calculate the factors of 36180 and 36200 and find the biggest common factor number .

Step-1: Prime Factorization of 36180

Prime factors of 36180 are 2, 3, 5, 67. Prime factorization of 36180 in exponential form is:

36180 = 2² × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 36200

Prime factors of 36200 are 2, 5, 181. Prime factorization of 36200 in exponential form is:

36200 = 2³ × 5² × 181¹

Step-3: Factors of 36180

List of positive integer factors of 36180 that divides 36180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 67, 90, 108, 134, 135, 180, 201, 268, 270, 335, 402, 540, 603, 670, 804, 1005, 1206, 1340, 1809, 2010, 2412, 3015, 3618, 4020, 6030, 7236, 9045, 12060, 18090

Step-4: Factors of 36200

List of positive integer factors of 36200 that divides 36180 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 181, 200, 362, 724, 905, 1448, 1810, 3620, 4525, 7240, 9050, 18100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36180 and 36200. The biggest common factor number is the GCF number.
So the greatest common factor 36180 and 36200 is 20.

Also check out the Least Common Multiple of 36180 and 36200