What is the Greatest Common Factor of 44004 and 44013?

Greatest common factor (GCF) of 44004 and 44013 is 3.

GCF(44004,44013) = 3

We will now calculate the prime factors of 44004 and 44013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44004 and 44013.

How to find the GCF of 44004 and 44013?

We will first find the prime factorization of 44004 and 44013. After we will calculate the factors of 44004 and 44013 and find the biggest common factor number .

Step-1: Prime Factorization of 44004

Prime factors of 44004 are 2, 3, 19, 193. Prime factorization of 44004 in exponential form is:

44004 = 2² × 3¹ × 19¹ × 193¹

Step-2: Prime Factorization of 44013

Prime factors of 44013 are 3, 17, 863. Prime factorization of 44013 in exponential form is:

44013 = 3¹ × 17¹ × 863¹

Step-3: Factors of 44004

List of positive integer factors of 44004 that divides 44004 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 193, 228, 386, 579, 772, 1158, 2316, 3667, 7334, 11001, 14668, 22002

Step-4: Factors of 44013

List of positive integer factors of 44013 that divides 44004 without a remainder.

1, 3, 17, 51, 863, 2589, 14671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44004 and 44013. The biggest common factor number is the GCF number.
So the greatest common factor 44004 and 44013 is 3.

Also check out the Least Common Multiple of 44004 and 44013