What is the Greatest Common Factor of 43972 and 43976?

Greatest common factor (GCF) of 43972 and 43976 is 4.

GCF(43972,43976) = 4

We will now calculate the prime factors of 43972 and 43976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43972 and 43976.

How to find the GCF of 43972 and 43976?

We will first find the prime factorization of 43972 and 43976. After we will calculate the factors of 43972 and 43976 and find the biggest common factor number .

Step-1: Prime Factorization of 43972

Prime factors of 43972 are 2, 10993. Prime factorization of 43972 in exponential form is:

43972 = 2² × 10993¹

Step-2: Prime Factorization of 43976

Prime factors of 43976 are 2, 23, 239. Prime factorization of 43976 in exponential form is:

43976 = 2³ × 23¹ × 239¹

Step-3: Factors of 43972

List of positive integer factors of 43972 that divides 43972 without a remainder.

1, 2, 4, 10993, 21986

Step-4: Factors of 43976

List of positive integer factors of 43976 that divides 43972 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 239, 478, 956, 1912, 5497, 10994, 21988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43972 and 43976. The biggest common factor number is the GCF number.
So the greatest common factor 43972 and 43976 is 4.

Also check out the Least Common Multiple of 43972 and 43976