What is the Greatest Common Factor of 43940 and 43953?

Greatest common factor (GCF) of 43940 and 43953 is 13.

GCF(43940,43953) = 13

We will now calculate the prime factors of 43940 and 43953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43940 and 43953.

How to find the GCF of 43940 and 43953?

We will first find the prime factorization of 43940 and 43953. After we will calculate the factors of 43940 and 43953 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43953

Prime factors of 43953 are 3, 7, 13, 23. Prime factorization of 43953 in exponential form is:

43953 = 3¹ × 7² × 13¹ × 23¹

Step-3: Factors of 43940

List of positive integer factors of 43940 that divides 43940 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

Step-4: Factors of 43953

List of positive integer factors of 43953 that divides 43940 without a remainder.

1, 3, 7, 13, 21, 23, 39, 49, 69, 91, 147, 161, 273, 299, 483, 637, 897, 1127, 1911, 2093, 3381, 6279, 14651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43940 and 43953. The biggest common factor number is the GCF number.
So the greatest common factor 43940 and 43953 is 13.

Also check out the Least Common Multiple of 43940 and 43953