What is the Greatest Common Factor of 43985 and 44004?

Greatest common factor (GCF) of 43985 and 44004 is 19.

GCF(43985,44004) = 19

We will now calculate the prime factors of 43985 and 44004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43985 and 44004.

How to find the GCF of 43985 and 44004?

We will first find the prime factorization of 43985 and 44004. After we will calculate the factors of 43985 and 44004 and find the biggest common factor number .

Step-1: Prime Factorization of 43985

Prime factors of 43985 are 5, 19, 463. Prime factorization of 43985 in exponential form is:

43985 = 5¹ × 19¹ × 463¹

Step-2: 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-3: Factors of 43985

List of positive integer factors of 43985 that divides 43985 without a remainder.

1, 5, 19, 95, 463, 2315, 8797

Step-4: Factors of 44004

List of positive integer factors of 44004 that divides 43985 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43985 and 44004. The biggest common factor number is the GCF number.
So the greatest common factor 43985 and 44004 is 19.

Also check out the Least Common Multiple of 43985 and 44004