What is the Greatest Common Factor of 9564 and 9583?

Greatest common factor (GCF) of 9564 and 9583 is 1.

GCF(9564,9583) = 1

We will now calculate the prime factors of 9564 and 9583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9564 and 9583.

How to find the GCF of 9564 and 9583?

We will first find the prime factorization of 9564 and 9583. After we will calculate the factors of 9564 and 9583 and find the biggest common factor number .

Step-1: Prime Factorization of 9564

Prime factors of 9564 are 2, 3, 797. Prime factorization of 9564 in exponential form is:

9564 = 2² × 3¹ × 797¹

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 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782

Step-4: Factors of 9583

List of positive integer factors of 9583 that divides 9564 without a remainder.

1, 7, 37, 259, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9564 and 9583. The biggest common factor number is the GCF number.
So the greatest common factor 9564 and 9583 is 1.

Also check out the Least Common Multiple of 9564 and 9583