What is the Greatest Common Factor of 45198 and 45207?

Greatest common factor (GCF) of 45198 and 45207 is 9.

GCF(45198,45207) = 9

We will now calculate the prime factors of 45198 and 45207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45198 and 45207.

How to find the GCF of 45198 and 45207?

We will first find the prime factorization of 45198 and 45207. After we will calculate the factors of 45198 and 45207 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 45207

Prime factors of 45207 are 3, 5023. Prime factorization of 45207 in exponential form is:

45207 = 3² × 5023¹

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 45207

List of positive integer factors of 45207 that divides 45198 without a remainder.

1, 3, 9, 5023, 15069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45198 and 45207. The biggest common factor number is the GCF number.
So the greatest common factor 45198 and 45207 is 9.

Also check out the Least Common Multiple of 45198 and 45207