What is the Greatest Common Factor of 9569 and 9583?

Greatest common factor (GCF) of 9569 and 9583 is 7.

GCF(9569,9583) = 7

We will now calculate the prime factors of 9569 and 9583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9569 and 9583.

How to find the GCF of 9569 and 9583?

We will first find the prime factorization of 9569 and 9583. After we will calculate the factors of 9569 and 9583 and find the biggest common factor number .

Step-1: Prime Factorization of 9569

Prime factors of 9569 are 7, 1367. Prime factorization of 9569 in exponential form is:

9569 = 7¹ × 1367¹

Step-2: Prime Factorization of 9583

Prime factors of 9583 are 7, 37. Prime factorization of 9583 in exponential form is:

9583 = 7¹ × 37²

Step-3: Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1, 7, 1367

Step-4: Factors of 9583

List of positive integer factors of 9583 that divides 9569 without a remainder.

1, 7, 37, 259, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9569 and 9583. The biggest common factor number is the GCF number.
So the greatest common factor 9569 and 9583 is 7.

Also check out the Least Common Multiple of 9569 and 9583