What is the Greatest Common Factor of 45328 and 45334?

Greatest common factor (GCF) of 45328 and 45334 is 2.

GCF(45328,45334) = 2

We will now calculate the prime factors of 45328 and 45334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45328 and 45334.

How to find the GCF of 45328 and 45334?

We will first find the prime factorization of 45328 and 45334. After we will calculate the factors of 45328 and 45334 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 45334

Prime factors of 45334 are 2, 19, 1193. Prime factorization of 45334 in exponential form is:

45334 = 2¹ × 19¹ × 1193¹

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 45334

List of positive integer factors of 45334 that divides 45328 without a remainder.

1, 2, 19, 38, 1193, 2386, 22667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45328 and 45334. The biggest common factor number is the GCF number.
So the greatest common factor 45328 and 45334 is 2.

Also check out the Least Common Multiple of 45328 and 45334