What is the Greatest Common Factor of 45186 and 45203?

Greatest common factor (GCF) of 45186 and 45203 is 17.

GCF(45186,45203) = 17

We will now calculate the prime factors of 45186 and 45203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45186 and 45203.

How to find the GCF of 45186 and 45203?

We will first find the prime factorization of 45186 and 45203. After we will calculate the factors of 45186 and 45203 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 45203

Prime factors of 45203 are 17, 2659. Prime factorization of 45203 in exponential form is:

45203 = 17¹ × 2659¹

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 45203

List of positive integer factors of 45203 that divides 45186 without a remainder.

1, 17, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45186 and 45203. The biggest common factor number is the GCF number.
So the greatest common factor 45186 and 45203 is 17.

Also check out the Least Common Multiple of 45186 and 45203