What is the Greatest Common Factor of 45271 and 45289?

Greatest common factor (GCF) of 45271 and 45289 is 1.

GCF(45271,45289) = 1

We will now calculate the prime factors of 45271 and 45289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45271 and 45289.

How to find the GCF of 45271 and 45289?

We will first find the prime factorization of 45271 and 45289. After we will calculate the factors of 45271 and 45289 and find the biggest common factor number .

Step-1: Prime Factorization of 45271

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

45271 = 17¹ × 2663¹

Step-2: Prime Factorization of 45289

Prime factors of 45289 are 45289. Prime factorization of 45289 in exponential form is:

45289 = 45289¹

Step-3: Factors of 45271

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

1, 17, 2663

Step-4: Factors of 45289

List of positive integer factors of 45289 that divides 45271 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45271 and 45289. The biggest common factor number is the GCF number.
So the greatest common factor 45271 and 45289 is 1.

Also check out the Least Common Multiple of 45271 and 45289