What is the Greatest Common Factor of 43978 and 43989?

Greatest common factor (GCF) of 43978 and 43989 is 11.

GCF(43978,43989) = 11

We will now calculate the prime factors of 43978 and 43989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43978 and 43989.

How to find the GCF of 43978 and 43989?

We will first find the prime factorization of 43978 and 43989. After we will calculate the factors of 43978 and 43989 and find the biggest common factor number .

Step-1: Prime Factorization of 43978

Prime factors of 43978 are 2, 11, 1999. Prime factorization of 43978 in exponential form is:

43978 = 2¹ × 11¹ × 1999¹

Step-2: 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-3: Factors of 43978

List of positive integer factors of 43978 that divides 43978 without a remainder.

1, 2, 11, 22, 1999, 3998, 21989

Step-4: Factors of 43989

List of positive integer factors of 43989 that divides 43978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43978 and 43989. The biggest common factor number is the GCF number.
So the greatest common factor 43978 and 43989 is 11.

Also check out the Least Common Multiple of 43978 and 43989