What is the Greatest Common Factor of 36171 and 36180?

Greatest common factor (GCF) of 36171 and 36180 is 9.

GCF(36171,36180) = 9

We will now calculate the prime factors of 36171 and 36180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36171 and 36180.

How to find the GCF of 36171 and 36180?

We will first find the prime factorization of 36171 and 36180. After we will calculate the factors of 36171 and 36180 and find the biggest common factor number .

Step-1: Prime Factorization of 36171

Prime factors of 36171 are 3, 4019. Prime factorization of 36171 in exponential form is:

36171 = 3² × 4019¹

Step-2: 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-3: Factors of 36171

List of positive integer factors of 36171 that divides 36171 without a remainder.

1, 3, 9, 4019, 12057

Step-4: Factors of 36180

List of positive integer factors of 36180 that divides 36171 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36171 and 36180. The biggest common factor number is the GCF number.
So the greatest common factor 36171 and 36180 is 9.

Also check out the Least Common Multiple of 36171 and 36180