What is the Greatest Common Factor of 9540 and 9546?

Greatest common factor (GCF) of 9540 and 9546 is 6.

GCF(9540,9546) = 6

We will now calculate the prime factors of 9540 and 9546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9540 and 9546.

How to find the GCF of 9540 and 9546?

We will first find the prime factorization of 9540 and 9546. After we will calculate the factors of 9540 and 9546 and find the biggest common factor number .

Step-1: Prime Factorization of 9540

Prime factors of 9540 are 2, 3, 5, 53. Prime factorization of 9540 in exponential form is:

9540 = 2² × 3² × 5¹ × 53¹

Step-2: 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-3: Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770

Step-4: Factors of 9546

List of positive integer factors of 9546 that divides 9540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9540 and 9546. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9546 is 6.

Also check out the Least Common Multiple of 9540 and 9546