What is the Greatest Common Factor of 43967 and 43978?

Greatest common factor (GCF) of 43967 and 43978 is 11.

GCF(43967,43978) = 11

We will now calculate the prime factors of 43967 and 43978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43967 and 43978.

How to find the GCF of 43967 and 43978?

We will first find the prime factorization of 43967 and 43978. After we will calculate the factors of 43967 and 43978 and find the biggest common factor number .

Step-1: Prime Factorization of 43967

Prime factors of 43967 are 7, 11, 571. Prime factorization of 43967 in exponential form is:

43967 = 7¹ × 11¹ × 571¹

Step-2: 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-3: Factors of 43967

List of positive integer factors of 43967 that divides 43967 without a remainder.

1, 7, 11, 77, 571, 3997, 6281

Step-4: Factors of 43978

List of positive integer factors of 43978 that divides 43967 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43967 and 43978. The biggest common factor number is the GCF number.
So the greatest common factor 43967 and 43978 is 11.

Also check out the Least Common Multiple of 43967 and 43978