What is the Greatest Common Factor of 45180 and 45192?

Greatest common factor (GCF) of 45180 and 45192 is 12.

GCF(45180,45192) = 12

We will now calculate the prime factors of 45180 and 45192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45180 and 45192.

How to find the GCF of 45180 and 45192?

We will first find the prime factorization of 45180 and 45192. After we will calculate the factors of 45180 and 45192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45192

Prime factors of 45192 are 2, 3, 7, 269. Prime factorization of 45192 in exponential form is:

45192 = 2³ × 3¹ × 7¹ × 269¹

Step-3: Factors of 45180

List of positive integer factors of 45180 that divides 45180 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

Step-4: Factors of 45192

List of positive integer factors of 45192 that divides 45180 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 269, 538, 807, 1076, 1614, 1883, 2152, 3228, 3766, 5649, 6456, 7532, 11298, 15064, 22596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45180 and 45192. The biggest common factor number is the GCF number.
So the greatest common factor 45180 and 45192 is 12.

Also check out the Least Common Multiple of 45180 and 45192