What is the Greatest Common Factor of 45198 and 45216?

Greatest common factor (GCF) of 45198 and 45216 is 18.

GCF(45198,45216) = 18

We will now calculate the prime factors of 45198 and 45216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45198 and 45216.

How to find the GCF of 45198 and 45216?

We will first find the prime factorization of 45198 and 45216. After we will calculate the factors of 45198 and 45216 and find the biggest common factor number .

Step-1: Prime Factorization of 45198

Prime factors of 45198 are 2, 3, 31. Prime factorization of 45198 in exponential form is:

45198 = 2¹ × 3⁶ × 31¹

Step-2: Prime Factorization of 45216

Prime factors of 45216 are 2, 3, 157. Prime factorization of 45216 in exponential form is:

45216 = 2⁵ × 3² × 157¹

Step-3: Factors of 45198

List of positive integer factors of 45198 that divides 45198 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 243, 279, 486, 558, 729, 837, 1458, 1674, 2511, 5022, 7533, 15066, 22599

Step-4: Factors of 45216

List of positive integer factors of 45216 that divides 45198 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 157, 288, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5024, 5652, 7536, 11304, 15072, 22608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45198 and 45216. The biggest common factor number is the GCF number.
So the greatest common factor 45198 and 45216 is 18.

Also check out the Least Common Multiple of 45198 and 45216