What is the Greatest Common Factor of 9546 and 9564?

Greatest common factor (GCF) of 9546 and 9564 is 6.

GCF(9546,9564) = 6

We will now calculate the prime factors of 9546 and 9564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9546 and 9564.

How to find the GCF of 9546 and 9564?

We will first find the prime factorization of 9546 and 9564. After we will calculate the factors of 9546 and 9564 and find the biggest common factor number .

Step-1: Prime Factorization of 9546

Prime factors of 9546 are 2, 3, 37, 43. Prime factorization of 9546 in exponential form is:

9546 = 2¹ × 3¹ × 37¹ × 43¹

Step-2: 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-3: Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773

Step-4: Factors of 9564

List of positive integer factors of 9564 that divides 9546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9546 and 9564. The biggest common factor number is the GCF number.
So the greatest common factor 9546 and 9564 is 6.

Also check out the Least Common Multiple of 9546 and 9564