What is the Greatest Common Factor of 45162 and 45180?

Greatest common factor (GCF) of 45162 and 45180 is 18.

GCF(45162,45180) = 18

We will now calculate the prime factors of 45162 and 45180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45162 and 45180.

How to find the GCF of 45162 and 45180?

We will first find the prime factorization of 45162 and 45180. After we will calculate the factors of 45162 and 45180 and find the biggest common factor number .

Step-1: Prime Factorization of 45162

Prime factors of 45162 are 2, 3, 13, 193. Prime factorization of 45162 in exponential form is:

45162 = 2¹ × 3² × 13¹ × 193¹

Step-2: Prime Factorization of 45180

Prime factors of 45180 are 2, 3, 5, 251. Prime factorization of 45180 in exponential form is:

45180 = 2² × 3² × 5¹ × 251¹

Step-3: Factors of 45162

List of positive integer factors of 45162 that divides 45162 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 193, 234, 386, 579, 1158, 1737, 2509, 3474, 5018, 7527, 15054, 22581

Step-4: Factors of 45180

List of positive integer factors of 45180 that divides 45162 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 251, 502, 753, 1004, 1255, 1506, 2259, 2510, 3012, 3765, 4518, 5020, 7530, 9036, 11295, 15060, 22590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45162 and 45180. The biggest common factor number is the GCF number.
So the greatest common factor 45162 and 45180 is 18.

Also check out the Least Common Multiple of 45162 and 45180