What is the Greatest Common Factor of 36168 and 36180?

Greatest common factor (GCF) of 36168 and 36180 is 12.

GCF(36168,36180) = 12

We will now calculate the prime factors of 36168 and 36180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36168 and 36180.

How to find the GCF of 36168 and 36180?

We will first find the prime factorization of 36168 and 36180. After we will calculate the factors of 36168 and 36180 and find the biggest common factor number .

Step-1: Prime Factorization of 36168

Prime factors of 36168 are 2, 3, 11, 137. Prime factorization of 36168 in exponential form is:

36168 = 2³ × 3¹ × 11¹ × 137¹

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 36168

List of positive integer factors of 36168 that divides 36168 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 137, 264, 274, 411, 548, 822, 1096, 1507, 1644, 3014, 3288, 4521, 6028, 9042, 12056, 18084

Step-4: Factors of 36180

List of positive integer factors of 36180 that divides 36168 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 36168 and 36180. The biggest common factor number is the GCF number.
So the greatest common factor 36168 and 36180 is 12.

Also check out the Least Common Multiple of 36168 and 36180