What is the Greatest Common Factor of 9625 and 9645?

Greatest common factor (GCF) of 9625 and 9645 is 5.

GCF(9625,9645) = 5

We will now calculate the prime factors of 9625 and 9645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9625 and 9645.

How to find the GCF of 9625 and 9645?

We will first find the prime factorization of 9625 and 9645. After we will calculate the factors of 9625 and 9645 and find the biggest common factor number .

Step-1: Prime Factorization of 9625

Prime factors of 9625 are 5, 7, 11. Prime factorization of 9625 in exponential form is:

9625 = 5³ × 7¹ × 11¹

Step-2: Prime Factorization of 9645

Prime factors of 9645 are 3, 5, 643. Prime factorization of 9645 in exponential form is:

9645 = 3¹ × 5¹ × 643¹

Step-3: Factors of 9625

List of positive integer factors of 9625 that divides 9625 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925

Step-4: Factors of 9645

List of positive integer factors of 9645 that divides 9625 without a remainder.

1, 3, 5, 15, 643, 1929, 3215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9625 and 9645. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9645 is 5.

Also check out the Least Common Multiple of 9625 and 9645