What is the Greatest Common Factor of 43924 and 43936?

Greatest common factor (GCF) of 43924 and 43936 is 4.

GCF(43924,43936) = 4

We will now calculate the prime factors of 43924 and 43936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43924 and 43936.

How to find the GCF of 43924 and 43936?

We will first find the prime factorization of 43924 and 43936. After we will calculate the factors of 43924 and 43936 and find the biggest common factor number .

Step-1: Prime Factorization of 43924

Prime factors of 43924 are 2, 79, 139. Prime factorization of 43924 in exponential form is:

43924 = 2² × 79¹ × 139¹

Step-2: Prime Factorization of 43936

Prime factors of 43936 are 2, 1373. Prime factorization of 43936 in exponential form is:

43936 = 2⁵ × 1373¹

Step-3: Factors of 43924

List of positive integer factors of 43924 that divides 43924 without a remainder.

1, 2, 4, 79, 139, 158, 278, 316, 556, 10981, 21962

Step-4: Factors of 43936

List of positive integer factors of 43936 that divides 43924 without a remainder.

1, 2, 4, 8, 16, 32, 1373, 2746, 5492, 10984, 21968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43924 and 43936. The biggest common factor number is the GCF number.
So the greatest common factor 43924 and 43936 is 4.

Also check out the Least Common Multiple of 43924 and 43936