What is the Greatest Common Factor of 44004 and 44021?

Greatest common factor (GCF) of 44004 and 44021 is 1.

GCF(44004,44021) = 1

We will now calculate the prime factors of 44004 and 44021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44004 and 44021.

How to find the GCF of 44004 and 44021?

We will first find the prime factorization of 44004 and 44021. After we will calculate the factors of 44004 and 44021 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 44021

Prime factors of 44021 are 44021. Prime factorization of 44021 in exponential form is:

44021 = 44021¹

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 44021

List of positive integer factors of 44021 that divides 44004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44004 and 44021. The biggest common factor number is the GCF number.
So the greatest common factor 44004 and 44021 is 1.

Also check out the Least Common Multiple of 44004 and 44021