What is the Greatest Common Factor of 43988 and 44002?

Greatest common factor (GCF) of 43988 and 44002 is 14.

GCF(43988,44002) = 14

We will now calculate the prime factors of 43988 and 44002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43988 and 44002.

How to find the GCF of 43988 and 44002?

We will first find the prime factorization of 43988 and 44002. After we will calculate the factors of 43988 and 44002 and find the biggest common factor number .

Step-1: Prime Factorization of 43988

Prime factors of 43988 are 2, 7, 1571. Prime factorization of 43988 in exponential form is:

43988 = 2² × 7¹ × 1571¹

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 43988

List of positive integer factors of 43988 that divides 43988 without a remainder.

1, 2, 4, 7, 14, 28, 1571, 3142, 6284, 10997, 21994

Step-4: Factors of 44002

List of positive integer factors of 44002 that divides 43988 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 43988 and 44002. The biggest common factor number is the GCF number.
So the greatest common factor 43988 and 44002 is 14.

Also check out the Least Common Multiple of 43988 and 44002