What is the Greatest Common Factor of 45325 and 45329?

Greatest common factor (GCF) of 45325 and 45329 is 1.

GCF(45325,45329) = 1

We will now calculate the prime factors of 45325 and 45329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45325 and 45329.

How to find the GCF of 45325 and 45329?

We will first find the prime factorization of 45325 and 45329. After we will calculate the factors of 45325 and 45329 and find the biggest common factor number .

Step-1: Prime Factorization of 45325

Prime factors of 45325 are 5, 7, 37. Prime factorization of 45325 in exponential form is:

45325 = 5² × 7² × 37¹

Step-2: Prime Factorization of 45329

Prime factors of 45329 are 45329. Prime factorization of 45329 in exponential form is:

45329 = 45329¹

Step-3: Factors of 45325

List of positive integer factors of 45325 that divides 45325 without a remainder.

1, 5, 7, 25, 35, 37, 49, 175, 185, 245, 259, 925, 1225, 1295, 1813, 6475, 9065

Step-4: Factors of 45329

List of positive integer factors of 45329 that divides 45325 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45325 and 45329. The biggest common factor number is the GCF number.
So the greatest common factor 45325 and 45329 is 1.

Also check out the Least Common Multiple of 45325 and 45329