What is the Greatest Common Factor of 44709 and 44724?

Greatest common factor (GCF) of 44709 and 44724 is 3.

GCF(44709,44724) = 3

We will now calculate the prime factors of 44709 and 44724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44709 and 44724.

How to find the GCF of 44709 and 44724?

We will first find the prime factorization of 44709 and 44724. After we will calculate the factors of 44709 and 44724 and find the biggest common factor number .

Step-1: Prime Factorization of 44709

Prime factors of 44709 are 3, 7, 2129. Prime factorization of 44709 in exponential form is:

44709 = 3¹ × 7¹ × 2129¹

Step-2: 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-3: Factors of 44709

List of positive integer factors of 44709 that divides 44709 without a remainder.

1, 3, 7, 21, 2129, 6387, 14903

Step-4: Factors of 44724

List of positive integer factors of 44724 that divides 44709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44709 and 44724. The biggest common factor number is the GCF number.
So the greatest common factor 44709 and 44724 is 3.

Also check out the Least Common Multiple of 44709 and 44724