What is the Greatest Common Factor of 43620 and 43625?

Greatest common factor (GCF) of 43620 and 43625 is 5.

GCF(43620,43625) = 5

We will now calculate the prime factors of 43620 and 43625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43620 and 43625.

How to find the GCF of 43620 and 43625?

We will first find the prime factorization of 43620 and 43625. After we will calculate the factors of 43620 and 43625 and find the biggest common factor number .

Step-1: Prime Factorization of 43620

Prime factors of 43620 are 2, 3, 5, 727. Prime factorization of 43620 in exponential form is:

43620 = 2² × 3¹ × 5¹ × 727¹

Step-2: Prime Factorization of 43625

Prime factors of 43625 are 5, 349. Prime factorization of 43625 in exponential form is:

43625 = 5³ × 349¹

Step-3: Factors of 43620

List of positive integer factors of 43620 that divides 43620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 727, 1454, 2181, 2908, 3635, 4362, 7270, 8724, 10905, 14540, 21810

Step-4: Factors of 43625

List of positive integer factors of 43625 that divides 43620 without a remainder.

1, 5, 25, 125, 349, 1745, 8725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43620 and 43625. The biggest common factor number is the GCF number.
So the greatest common factor 43620 and 43625 is 5.

Also check out the Least Common Multiple of 43620 and 43625