What is the Greatest Common Factor of 45237 and 45254?

Greatest common factor (GCF) of 45237 and 45254 is 17.

GCF(45237,45254) = 17

We will now calculate the prime factors of 45237 and 45254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45237 and 45254.

How to find the GCF of 45237 and 45254?

We will first find the prime factorization of 45237 and 45254. After we will calculate the factors of 45237 and 45254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45254

Prime factors of 45254 are 2, 11, 17. Prime factorization of 45254 in exponential form is:

45254 = 2¹ × 11³ × 17¹

Step-3: Factors of 45237

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

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

Step-4: Factors of 45254

List of positive integer factors of 45254 that divides 45237 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 1331, 2057, 2662, 4114, 22627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45237 and 45254. The biggest common factor number is the GCF number.
So the greatest common factor 45237 and 45254 is 17.

Also check out the Least Common Multiple of 45237 and 45254