What is the Greatest Common Factor of 45229 and 45237?

Greatest common factor (GCF) of 45229 and 45237 is 1.

GCF(45229,45237) = 1

We will now calculate the prime factors of 45229 and 45237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45229 and 45237.

How to find the GCF of 45229 and 45237?

We will first find the prime factorization of 45229 and 45237. After we will calculate the factors of 45229 and 45237 and find the biggest common factor number .

Step-1: Prime Factorization of 45229

Prime factors of 45229 are 31, 1459. Prime factorization of 45229 in exponential form is:

45229 = 31¹ × 1459¹

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 45229

List of positive integer factors of 45229 that divides 45229 without a remainder.

1, 31, 1459

Step-4: Factors of 45237

List of positive integer factors of 45237 that divides 45229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45229 and 45237. The biggest common factor number is the GCF number.
So the greatest common factor 45229 and 45237 is 1.

Also check out the Least Common Multiple of 45229 and 45237