What is the Greatest Common Factor of 17625 and 17643?

Greatest common factor (GCF) of 17625 and 17643 is 3.

GCF(17625,17643) = 3

We will now calculate the prime factors of 17625 and 17643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17625 and 17643.

How to find the GCF of 17625 and 17643?

We will first find the prime factorization of 17625 and 17643. After we will calculate the factors of 17625 and 17643 and find the biggest common factor number .

Step-1: Prime Factorization of 17625

Prime factors of 17625 are 3, 5, 47. Prime factorization of 17625 in exponential form is:

17625 = 3¹ × 5³ × 47¹

Step-2: Prime Factorization of 17643

Prime factors of 17643 are 3, 5881. Prime factorization of 17643 in exponential form is:

17643 = 3¹ × 5881¹

Step-3: Factors of 17625

List of positive integer factors of 17625 that divides 17625 without a remainder.

1, 3, 5, 15, 25, 47, 75, 125, 141, 235, 375, 705, 1175, 3525, 5875

Step-4: Factors of 17643

List of positive integer factors of 17643 that divides 17625 without a remainder.

1, 3, 5881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17625 and 17643. The biggest common factor number is the GCF number.
So the greatest common factor 17625 and 17643 is 3.

Also check out the Least Common Multiple of 17625 and 17643