What is the Greatest Common Factor of 45186 and 45198?

Greatest common factor (GCF) of 45186 and 45198 is 6.

GCF(45186,45198) = 6

We will now calculate the prime factors of 45186 and 45198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45186 and 45198.

How to find the GCF of 45186 and 45198?

We will first find the prime factorization of 45186 and 45198. After we will calculate the factors of 45186 and 45198 and find the biggest common factor number .

Step-1: Prime Factorization of 45186

Prime factors of 45186 are 2, 3, 17, 443. Prime factorization of 45186 in exponential form is:

45186 = 2¹ × 3¹ × 17¹ × 443¹

Step-2: 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-3: Factors of 45186

List of positive integer factors of 45186 that divides 45186 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 443, 886, 1329, 2658, 7531, 15062, 22593

Step-4: Factors of 45198

List of positive integer factors of 45198 that divides 45186 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45186 and 45198. The biggest common factor number is the GCF number.
So the greatest common factor 45186 and 45198 is 6.

Also check out the Least Common Multiple of 45186 and 45198