What is the Greatest Common Factor of 43936 and 43942?

Greatest common factor (GCF) of 43936 and 43942 is 2.

GCF(43936,43942) = 2

We will now calculate the prime factors of 43936 and 43942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43936 and 43942.

How to find the GCF of 43936 and 43942?

We will first find the prime factorization of 43936 and 43942. After we will calculate the factors of 43936 and 43942 and find the biggest common factor number .

Step-1: Prime Factorization of 43936

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

43936 = 2⁵ × 1373¹

Step-2: Prime Factorization of 43942

Prime factors of 43942 are 2, 127, 173. Prime factorization of 43942 in exponential form is:

43942 = 2¹ × 127¹ × 173¹

Step-3: Factors of 43936

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

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

Step-4: Factors of 43942

List of positive integer factors of 43942 that divides 43936 without a remainder.

1, 2, 127, 173, 254, 346, 21971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43936 and 43942. The biggest common factor number is the GCF number.
So the greatest common factor 43936 and 43942 is 2.

Also check out the Least Common Multiple of 43936 and 43942