What is the Greatest Common Factor of 9625 and 9635?

Greatest common factor (GCF) of 9625 and 9635 is 5.

GCF(9625,9635) = 5

We will now calculate the prime factors of 9625 and 9635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9625 and 9635.

How to find the GCF of 9625 and 9635?

We will first find the prime factorization of 9625 and 9635. After we will calculate the factors of 9625 and 9635 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 9635

Prime factors of 9635 are 5, 41, 47. Prime factorization of 9635 in exponential form is:

9635 = 5¹ × 41¹ × 47¹

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 9635

List of positive integer factors of 9635 that divides 9625 without a remainder.

1, 5, 41, 47, 205, 235, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9625 and 9635. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9635 is 5.

Also check out the Least Common Multiple of 9625 and 9635