What is the Greatest Common Factor of 43989 and 44002?

Greatest common factor (GCF) of 43989 and 44002 is 1.

GCF(43989,44002) = 1

We will now calculate the prime factors of 43989 and 44002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43989 and 44002.

How to find the GCF of 43989 and 44002?

We will first find the prime factorization of 43989 and 44002. After we will calculate the factors of 43989 and 44002 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 44002

Prime factors of 44002 are 2, 7, 449. Prime factorization of 44002 in exponential form is:

44002 = 2¹ × 7² × 449¹

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 44002

List of positive integer factors of 44002 that divides 43989 without a remainder.

1, 2, 7, 14, 49, 98, 449, 898, 3143, 6286, 22001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43989 and 44002. The biggest common factor number is the GCF number.
So the greatest common factor 43989 and 44002 is 1.

Also check out the Least Common Multiple of 43989 and 44002