What is the Greatest Common Factor of 45328 and 45338?

Greatest common factor (GCF) of 45328 and 45338 is 2.

GCF(45328,45338) = 2

We will now calculate the prime factors of 45328 and 45338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45328 and 45338.

How to find the GCF of 45328 and 45338?

We will first find the prime factorization of 45328 and 45338. After we will calculate the factors of 45328 and 45338 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 45338

Prime factors of 45338 are 2, 22669. Prime factorization of 45338 in exponential form is:

45338 = 2¹ × 22669¹

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 45338

List of positive integer factors of 45338 that divides 45328 without a remainder.

1, 2, 22669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45328 and 45338. The biggest common factor number is the GCF number.
So the greatest common factor 45328 and 45338 is 2.

Also check out the Least Common Multiple of 45328 and 45338