What is the Greatest Common Factor of 43545 and 43565?

Greatest common factor (GCF) of 43545 and 43565 is 5.

GCF(43545,43565) = 5

We will now calculate the prime factors of 43545 and 43565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43545 and 43565.

How to find the GCF of 43545 and 43565?

We will first find the prime factorization of 43545 and 43565. After we will calculate the factors of 43545 and 43565 and find the biggest common factor number .

Step-1: Prime Factorization of 43545

Prime factors of 43545 are 3, 5, 2903. Prime factorization of 43545 in exponential form is:

43545 = 3¹ × 5¹ × 2903¹

Step-2: Prime Factorization of 43565

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

43565 = 5¹ × 8713¹

Step-3: Factors of 43545

List of positive integer factors of 43545 that divides 43545 without a remainder.

1, 3, 5, 15, 2903, 8709, 14515

Step-4: Factors of 43565

List of positive integer factors of 43565 that divides 43545 without a remainder.

1, 5, 8713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43545 and 43565. The biggest common factor number is the GCF number.
So the greatest common factor 43545 and 43565 is 5.

Also check out the Least Common Multiple of 43545 and 43565