What is the Greatest Common Factor of 43525 and 43545?

Greatest common factor (GCF) of 43525 and 43545 is 5.

GCF(43525,43545) = 5

We will now calculate the prime factors of 43525 and 43545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43525 and 43545.

How to find the GCF of 43525 and 43545?

We will first find the prime factorization of 43525 and 43545. After we will calculate the factors of 43525 and 43545 and find the biggest common factor number .

Step-1: Prime Factorization of 43525

Prime factors of 43525 are 5, 1741. Prime factorization of 43525 in exponential form is:

43525 = 5² × 1741¹

Step-2: 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-3: Factors of 43525

List of positive integer factors of 43525 that divides 43525 without a remainder.

1, 5, 25, 1741, 8705

Step-4: Factors of 43545

List of positive integer factors of 43545 that divides 43525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43525 and 43545. The biggest common factor number is the GCF number.
So the greatest common factor 43525 and 43545 is 5.

Also check out the Least Common Multiple of 43525 and 43545