What is the Greatest Common Factor of 43940 and 43945?

Greatest common factor (GCF) of 43940 and 43945 is 5.

GCF(43940,43945) = 5

We will now calculate the prime factors of 43940 and 43945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43940 and 43945.

How to find the GCF of 43940 and 43945?

We will first find the prime factorization of 43940 and 43945. After we will calculate the factors of 43940 and 43945 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 43945

Prime factors of 43945 are 5, 11, 17, 47. Prime factorization of 43945 in exponential form is:

43945 = 5¹ × 11¹ × 17¹ × 47¹

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 43945

List of positive integer factors of 43945 that divides 43940 without a remainder.

1, 5, 11, 17, 47, 55, 85, 187, 235, 517, 799, 935, 2585, 3995, 8789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43940 and 43945. The biggest common factor number is the GCF number.
So the greatest common factor 43940 and 43945 is 5.

Also check out the Least Common Multiple of 43940 and 43945