What is the Greatest Common Factor of 9611 and 9625?

Greatest common factor (GCF) of 9611 and 9625 is 7.

GCF(9611,9625) = 7

We will now calculate the prime factors of 9611 and 9625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9611 and 9625.

How to find the GCF of 9611 and 9625?

We will first find the prime factorization of 9611 and 9625. After we will calculate the factors of 9611 and 9625 and find the biggest common factor number .

Step-1: Prime Factorization of 9611

Prime factors of 9611 are 7, 1373. Prime factorization of 9611 in exponential form is:

9611 = 7¹ × 1373¹

Step-2: 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-3: Factors of 9611

List of positive integer factors of 9611 that divides 9611 without a remainder.

1, 7, 1373

Step-4: Factors of 9625

List of positive integer factors of 9625 that divides 9611 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9611 and 9625. The biggest common factor number is the GCF number.
So the greatest common factor 9611 and 9625 is 7.

Also check out the Least Common Multiple of 9611 and 9625