What is the Greatest Common Factor of 9564 and 9570?

Greatest common factor (GCF) of 9564 and 9570 is 6.

GCF(9564,9570) = 6

We will now calculate the prime factors of 9564 and 9570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9564 and 9570.

How to find the GCF of 9564 and 9570?

We will first find the prime factorization of 9564 and 9570. After we will calculate the factors of 9564 and 9570 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 9570

Prime factors of 9570 are 2, 3, 5, 11, 29. Prime factorization of 9570 in exponential form is:

9570 = 2¹ × 3¹ × 5¹ × 11¹ × 29¹

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 9570

List of positive integer factors of 9570 that divides 9564 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9564 and 9570. The biggest common factor number is the GCF number.
So the greatest common factor 9564 and 9570 is 6.

Also check out the Least Common Multiple of 9564 and 9570