What is the Greatest Common Factor of 44004 and 44023?

Greatest common factor (GCF) of 44004 and 44023 is 19.

GCF(44004,44023) = 19

We will now calculate the prime factors of 44004 and 44023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44004 and 44023.

How to find the GCF of 44004 and 44023?

We will first find the prime factorization of 44004 and 44023. After we will calculate the factors of 44004 and 44023 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 44023

Prime factors of 44023 are 7, 19, 331. Prime factorization of 44023 in exponential form is:

44023 = 7¹ × 19¹ × 331¹

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 44023

List of positive integer factors of 44023 that divides 44004 without a remainder.

1, 7, 19, 133, 331, 2317, 6289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44004 and 44023. The biggest common factor number is the GCF number.
So the greatest common factor 44004 and 44023 is 19.

Also check out the Least Common Multiple of 44004 and 44023