What is the Greatest Common Factor of 43945 and 43965?

Greatest common factor (GCF) of 43945 and 43965 is 5.

GCF(43945,43965) = 5

We will now calculate the prime factors of 43945 and 43965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43945 and 43965.

How to find the GCF of 43945 and 43965?

We will first find the prime factorization of 43945 and 43965. After we will calculate the factors of 43945 and 43965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43965

Prime factors of 43965 are 3, 5, 977. Prime factorization of 43965 in exponential form is:

43965 = 3² × 5¹ × 977¹

Step-3: Factors of 43945

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

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

Step-4: Factors of 43965

List of positive integer factors of 43965 that divides 43945 without a remainder.

1, 3, 5, 9, 15, 45, 977, 2931, 4885, 8793, 14655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43945 and 43965. The biggest common factor number is the GCF number.
So the greatest common factor 43945 and 43965 is 5.

Also check out the Least Common Multiple of 43945 and 43965