What is the Greatest Common Factor of 9579 and 9588?

Greatest common factor (GCF) of 9579 and 9588 is 3.

GCF(9579,9588) = 3

We will now calculate the prime factors of 9579 and 9588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9579 and 9588.

How to find the GCF of 9579 and 9588?

We will first find the prime factorization of 9579 and 9588. After we will calculate the factors of 9579 and 9588 and find the biggest common factor number .

Step-1: Prime Factorization of 9579

Prime factors of 9579 are 3, 31, 103. Prime factorization of 9579 in exponential form is:

9579 = 3¹ × 31¹ × 103¹

Step-2: Prime Factorization of 9588

Prime factors of 9588 are 2, 3, 17, 47. Prime factorization of 9588 in exponential form is:

9588 = 2² × 3¹ × 17¹ × 47¹

Step-3: Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1, 3, 31, 93, 103, 309, 3193

Step-4: Factors of 9588

List of positive integer factors of 9588 that divides 9579 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9579 and 9588. The biggest common factor number is the GCF number.
So the greatest common factor 9579 and 9588 is 3.

Also check out the Least Common Multiple of 9579 and 9588