What is the Greatest Common Factor of 9635 and 9653?

Greatest common factor (GCF) of 9635 and 9653 is 1.

GCF(9635,9653) = 1

We will now calculate the prime factors of 9635 and 9653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9635 and 9653.

How to find the GCF of 9635 and 9653?

We will first find the prime factorization of 9635 and 9653. After we will calculate the factors of 9635 and 9653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9653

Prime factors of 9653 are 7, 197. Prime factorization of 9653 in exponential form is:

9653 = 7² × 197¹

Step-3: Factors of 9635

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

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

Step-4: Factors of 9653

List of positive integer factors of 9653 that divides 9635 without a remainder.

1, 7, 49, 197, 1379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9635 and 9653. The biggest common factor number is the GCF number.
So the greatest common factor 9635 and 9653 is 1.

Also check out the Least Common Multiple of 9635 and 9653