What is the Greatest Common Factor of 44307 and 44313?

Greatest common factor (GCF) of 44307 and 44313 is 3.

GCF(44307,44313) = 3

We will now calculate the prime factors of 44307 and 44313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44307 and 44313.

How to find the GCF of 44307 and 44313?

We will first find the prime factorization of 44307 and 44313. After we will calculate the factors of 44307 and 44313 and find the biggest common factor number .

Step-1: Prime Factorization of 44307

Prime factors of 44307 are 3, 547. Prime factorization of 44307 in exponential form is:

44307 = 3⁴ × 547¹

Step-2: Prime Factorization of 44313

Prime factors of 44313 are 3, 14771. Prime factorization of 44313 in exponential form is:

44313 = 3¹ × 14771¹

Step-3: Factors of 44307

List of positive integer factors of 44307 that divides 44307 without a remainder.

1, 3, 9, 27, 81, 547, 1641, 4923, 14769

Step-4: Factors of 44313

List of positive integer factors of 44313 that divides 44307 without a remainder.

1, 3, 14771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44307 and 44313. The biggest common factor number is the GCF number.
So the greatest common factor 44307 and 44313 is 3.

Also check out the Least Common Multiple of 44307 and 44313