What is the Greatest Common Factor of 45218 and 45237?

Greatest common factor (GCF) of 45218 and 45237 is 1.

GCF(45218,45237) = 1

We will now calculate the prime factors of 45218 and 45237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45218 and 45237.

How to find the GCF of 45218 and 45237?

We will first find the prime factorization of 45218 and 45237. After we will calculate the factors of 45218 and 45237 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45237

Prime factors of 45237 are 3, 17, 887. Prime factorization of 45237 in exponential form is:

45237 = 3¹ × 17¹ × 887¹

Step-3: Factors of 45218

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

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

Step-4: Factors of 45237

List of positive integer factors of 45237 that divides 45218 without a remainder.

1, 3, 17, 51, 887, 2661, 15079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45218 and 45237. The biggest common factor number is the GCF number.
So the greatest common factor 45218 and 45237 is 1.

Also check out the Least Common Multiple of 45218 and 45237