What is the Greatest Common Factor of 44904 and 44913?

Greatest common factor (GCF) of 44904 and 44913 is 3.

GCF(44904,44913) = 3

We will now calculate the prime factors of 44904 and 44913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44904 and 44913.

How to find the GCF of 44904 and 44913?

We will first find the prime factorization of 44904 and 44913. After we will calculate the factors of 44904 and 44913 and find the biggest common factor number .

Step-1: Prime Factorization of 44904

Prime factors of 44904 are 2, 3, 1871. Prime factorization of 44904 in exponential form is:

44904 = 2³ × 3¹ × 1871¹

Step-2: Prime Factorization of 44913

Prime factors of 44913 are 3, 11, 1361. Prime factorization of 44913 in exponential form is:

44913 = 3¹ × 11¹ × 1361¹

Step-3: Factors of 44904

List of positive integer factors of 44904 that divides 44904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1871, 3742, 5613, 7484, 11226, 14968, 22452

Step-4: Factors of 44913

List of positive integer factors of 44913 that divides 44904 without a remainder.

1, 3, 11, 33, 1361, 4083, 14971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44904 and 44913. The biggest common factor number is the GCF number.
So the greatest common factor 44904 and 44913 is 3.

Also check out the Least Common Multiple of 44904 and 44913