What is the Greatest Common Factor of 43927 and 43940?

Greatest common factor (GCF) of 43927 and 43940 is 13.

GCF(43927,43940) = 13

We will now calculate the prime factors of 43927 and 43940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43927 and 43940.

How to find the GCF of 43927 and 43940?

We will first find the prime factorization of 43927 and 43940. After we will calculate the factors of 43927 and 43940 and find the biggest common factor number .

Step-1: Prime Factorization of 43927

Prime factors of 43927 are 13, 31, 109. Prime factorization of 43927 in exponential form is:

43927 = 13¹ × 31¹ × 109¹

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 43927

List of positive integer factors of 43927 that divides 43927 without a remainder.

1, 13, 31, 109, 403, 1417, 3379

Step-4: Factors of 43940

List of positive integer factors of 43940 that divides 43927 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 43927 and 43940. The biggest common factor number is the GCF number.
So the greatest common factor 43927 and 43940 is 13.

Also check out the Least Common Multiple of 43927 and 43940