What is the Greatest Common Factor of 43957 and 43968?

Greatest common factor (GCF) of 43957 and 43968 is 1.

GCF(43957,43968) = 1

We will now calculate the prime factors of 43957 and 43968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43957 and 43968.

How to find the GCF of 43957 and 43968?

We will first find the prime factorization of 43957 and 43968. After we will calculate the factors of 43957 and 43968 and find the biggest common factor number .

Step-1: Prime Factorization of 43957

Prime factors of 43957 are 113, 389. Prime factorization of 43957 in exponential form is:

43957 = 113¹ × 389¹

Step-2: Prime Factorization of 43968

Prime factors of 43968 are 2, 3, 229. Prime factorization of 43968 in exponential form is:

43968 = 2⁶ × 3¹ × 229¹

Step-3: Factors of 43957

List of positive integer factors of 43957 that divides 43957 without a remainder.

1, 113, 389

Step-4: Factors of 43968

List of positive integer factors of 43968 that divides 43957 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 229, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43957 and 43968. The biggest common factor number is the GCF number.
So the greatest common factor 43957 and 43968 is 1.

Also check out the Least Common Multiple of 43957 and 43968