What is the Greatest Common Factor of 44724 and 44732?

Greatest common factor (GCF) of 44724 and 44732 is 4.

GCF(44724,44732) = 4

We will now calculate the prime factors of 44724 and 44732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44724 and 44732.

How to find the GCF of 44724 and 44732?

We will first find the prime factorization of 44724 and 44732. After we will calculate the factors of 44724 and 44732 and find the biggest common factor number .

Step-1: Prime Factorization of 44724

Prime factors of 44724 are 2, 3, 3727. Prime factorization of 44724 in exponential form is:

44724 = 2² × 3¹ × 3727¹

Step-2: Prime Factorization of 44732

Prime factors of 44732 are 2, 53, 211. Prime factorization of 44732 in exponential form is:

44732 = 2² × 53¹ × 211¹

Step-3: Factors of 44724

List of positive integer factors of 44724 that divides 44724 without a remainder.

1, 2, 3, 4, 6, 12, 3727, 7454, 11181, 14908, 22362

Step-4: Factors of 44732

List of positive integer factors of 44732 that divides 44724 without a remainder.

1, 2, 4, 53, 106, 211, 212, 422, 844, 11183, 22366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44724 and 44732. The biggest common factor number is the GCF number.
So the greatest common factor 44724 and 44732 is 4.

Also check out the Least Common Multiple of 44724 and 44732