What is the Greatest Common Factor of 45328 and 45341?

Greatest common factor (GCF) of 45328 and 45341 is 1.

GCF(45328,45341) = 1

We will now calculate the prime factors of 45328 and 45341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45328 and 45341.

How to find the GCF of 45328 and 45341?

We will first find the prime factorization of 45328 and 45341. After we will calculate the factors of 45328 and 45341 and find the biggest common factor number .

Step-1: Prime Factorization of 45328

Prime factors of 45328 are 2, 2833. Prime factorization of 45328 in exponential form is:

45328 = 2⁴ × 2833¹

Step-2: Prime Factorization of 45341

Prime factors of 45341 are 45341. Prime factorization of 45341 in exponential form is:

45341 = 45341¹

Step-3: Factors of 45328

List of positive integer factors of 45328 that divides 45328 without a remainder.

1, 2, 4, 8, 16, 2833, 5666, 11332, 22664

Step-4: Factors of 45341

List of positive integer factors of 45341 that divides 45328 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45328 and 45341. The biggest common factor number is the GCF number.
So the greatest common factor 45328 and 45341 is 1.

Also check out the Least Common Multiple of 45328 and 45341