What is the Greatest Common Factor of 45258 and 45272?

Greatest common factor (GCF) of 45258 and 45272 is 2.

GCF(45258,45272) = 2

We will now calculate the prime factors of 45258 and 45272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45258 and 45272.

How to find the GCF of 45258 and 45272?

We will first find the prime factorization of 45258 and 45272. After we will calculate the factors of 45258 and 45272 and find the biggest common factor number .

Step-1: Prime Factorization of 45258

Prime factors of 45258 are 2, 3, 19, 397. Prime factorization of 45258 in exponential form is:

45258 = 2¹ × 3¹ × 19¹ × 397¹

Step-2: Prime Factorization of 45272

Prime factors of 45272 are 2, 5659. Prime factorization of 45272 in exponential form is:

45272 = 2³ × 5659¹

Step-3: Factors of 45258

List of positive integer factors of 45258 that divides 45258 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 397, 794, 1191, 2382, 7543, 15086, 22629

Step-4: Factors of 45272

List of positive integer factors of 45272 that divides 45258 without a remainder.

1, 2, 4, 8, 5659, 11318, 22636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45258 and 45272. The biggest common factor number is the GCF number.
So the greatest common factor 45258 and 45272 is 2.

Also check out the Least Common Multiple of 45258 and 45272