What is the Greatest Common Factor of 43989 and 44003?

Greatest common factor (GCF) of 43989 and 44003 is 1.

GCF(43989,44003) = 1

We will now calculate the prime factors of 43989 and 44003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43989 and 44003.

How to find the GCF of 43989 and 44003?

We will first find the prime factorization of 43989 and 44003. After we will calculate the factors of 43989 and 44003 and find the biggest common factor number .

Step-1: Prime Factorization of 43989

Prime factors of 43989 are 3, 11, 31, 43. Prime factorization of 43989 in exponential form is:

43989 = 3¹ × 11¹ × 31¹ × 43¹

Step-2: Prime Factorization of 44003

Prime factors of 44003 are 79, 557. Prime factorization of 44003 in exponential form is:

44003 = 79¹ × 557¹

Step-3: Factors of 43989

List of positive integer factors of 43989 that divides 43989 without a remainder.

1, 3, 11, 31, 33, 43, 93, 129, 341, 473, 1023, 1333, 1419, 3999, 14663

Step-4: Factors of 44003

List of positive integer factors of 44003 that divides 43989 without a remainder.

1, 79, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43989 and 44003. The biggest common factor number is the GCF number.
So the greatest common factor 43989 and 44003 is 1.

Also check out the Least Common Multiple of 43989 and 44003