What is the Greatest Common Factor of 9625 and 9641?

Greatest common factor (GCF) of 9625 and 9641 is 1.

GCF(9625,9641) = 1

We will now calculate the prime factors of 9625 and 9641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9625 and 9641.

How to find the GCF of 9625 and 9641?

We will first find the prime factorization of 9625 and 9641. After we will calculate the factors of 9625 and 9641 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 9641

Prime factors of 9641 are 31, 311. Prime factorization of 9641 in exponential form is:

9641 = 31¹ × 311¹

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 9641

List of positive integer factors of 9641 that divides 9625 without a remainder.

1, 31, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9625 and 9641. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9641 is 1.

Also check out the Least Common Multiple of 9625 and 9641