What is the Greatest Common Factor of 43565 and 43580?

Greatest common factor (GCF) of 43565 and 43580 is 5.

GCF(43565,43580) = 5

We will now calculate the prime factors of 43565 and 43580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43565 and 43580.

How to find the GCF of 43565 and 43580?

We will first find the prime factorization of 43565 and 43580. After we will calculate the factors of 43565 and 43580 and find the biggest common factor number .

Step-1: Prime Factorization of 43565

Prime factors of 43565 are 5, 8713. Prime factorization of 43565 in exponential form is:

43565 = 5¹ × 8713¹

Step-2: Prime Factorization of 43580

Prime factors of 43580 are 2, 5, 2179. Prime factorization of 43580 in exponential form is:

43580 = 2² × 5¹ × 2179¹

Step-3: Factors of 43565

List of positive integer factors of 43565 that divides 43565 without a remainder.

1, 5, 8713

Step-4: Factors of 43580

List of positive integer factors of 43580 that divides 43565 without a remainder.

1, 2, 4, 5, 10, 20, 2179, 4358, 8716, 10895, 21790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43565 and 43580. The biggest common factor number is the GCF number.
So the greatest common factor 43565 and 43580 is 5.

Also check out the Least Common Multiple of 43565 and 43580