What is the Greatest Common Factor of 9594 and 9612?

Greatest common factor (GCF) of 9594 and 9612 is 18.

GCF(9594,9612) = 18

We will now calculate the prime factors of 9594 and 9612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9594 and 9612.

How to find the GCF of 9594 and 9612?

We will first find the prime factorization of 9594 and 9612. After we will calculate the factors of 9594 and 9612 and find the biggest common factor number .

Step-1: Prime Factorization of 9594

Prime factors of 9594 are 2, 3, 13, 41. Prime factorization of 9594 in exponential form is:

9594 = 2¹ × 3² × 13¹ × 41¹

Step-2: Prime Factorization of 9612

Prime factors of 9612 are 2, 3, 89. Prime factorization of 9612 in exponential form is:

9612 = 2² × 3³ × 89¹

Step-3: Factors of 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797

Step-4: Factors of 9612

List of positive integer factors of 9612 that divides 9594 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9594 and 9612. The biggest common factor number is the GCF number.
So the greatest common factor 9594 and 9612 is 18.

Also check out the Least Common Multiple of 9594 and 9612