What is the Greatest Common Factor of 43932 and 43940?

Greatest common factor (GCF) of 43932 and 43940 is 4.

GCF(43932,43940) = 4

We will now calculate the prime factors of 43932 and 43940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43932 and 43940.

How to find the GCF of 43932 and 43940?

We will first find the prime factorization of 43932 and 43940. After we will calculate the factors of 43932 and 43940 and find the biggest common factor number .

Step-1: Prime Factorization of 43932

Prime factors of 43932 are 2, 3, 7, 523. Prime factorization of 43932 in exponential form is:

43932 = 2² × 3¹ × 7¹ × 523¹

Step-2: Prime Factorization of 43940

Prime factors of 43940 are 2, 5, 13. Prime factorization of 43940 in exponential form is:

43940 = 2² × 5¹ × 13³

Step-3: Factors of 43932

List of positive integer factors of 43932 that divides 43932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 523, 1046, 1569, 2092, 3138, 3661, 6276, 7322, 10983, 14644, 21966

Step-4: Factors of 43940

List of positive integer factors of 43940 that divides 43932 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 2197, 3380, 4394, 8788, 10985, 21970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43932 and 43940. The biggest common factor number is the GCF number.
So the greatest common factor 43932 and 43940 is 4.

Also check out the Least Common Multiple of 43932 and 43940