What is the Greatest Common Factor of 45198 and 45218?

Greatest common factor (GCF) of 45198 and 45218 is 2.

GCF(45198,45218) = 2

We will now calculate the prime factors of 45198 and 45218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45198 and 45218.

How to find the GCF of 45198 and 45218?

We will first find the prime factorization of 45198 and 45218. After we will calculate the factors of 45198 and 45218 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 45218

Prime factors of 45218 are 2, 23, 983. Prime factorization of 45218 in exponential form is:

45218 = 2¹ × 23¹ × 983¹

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 45218

List of positive integer factors of 45218 that divides 45198 without a remainder.

1, 2, 23, 46, 983, 1966, 22609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45198 and 45218. The biggest common factor number is the GCF number.
So the greatest common factor 45198 and 45218 is 2.

Also check out the Least Common Multiple of 45198 and 45218