What is the Greatest Common Factor of 45258 and 45271?

Greatest common factor (GCF) of 45258 and 45271 is 1.

GCF(45258,45271) = 1

We will now calculate the prime factors of 45258 and 45271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45258 and 45271.

How to find the GCF of 45258 and 45271?

We will first find the prime factorization of 45258 and 45271. After we will calculate the factors of 45258 and 45271 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 45271

Prime factors of 45271 are 17, 2663. Prime factorization of 45271 in exponential form is:

45271 = 17¹ × 2663¹

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 45271

List of positive integer factors of 45271 that divides 45258 without a remainder.

1, 17, 2663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45258 and 45271. The biggest common factor number is the GCF number.
So the greatest common factor 45258 and 45271 is 1.

Also check out the Least Common Multiple of 45258 and 45271