What is the Greatest Common Factor of 9486 and 9503?

Greatest common factor (GCF) of 9486 and 9503 is 17.

GCF(9486,9503) = 17

We will now calculate the prime factors of 9486 and 9503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9486 and 9503.

How to find the GCF of 9486 and 9503?

We will first find the prime factorization of 9486 and 9503. After we will calculate the factors of 9486 and 9503 and find the biggest common factor number .

Step-1: Prime Factorization of 9486

Prime factors of 9486 are 2, 3, 17, 31. Prime factorization of 9486 in exponential form is:

9486 = 2¹ × 3² × 17¹ × 31¹

Step-2: Prime Factorization of 9503

Prime factors of 9503 are 13, 17, 43. Prime factorization of 9503 in exponential form is:

9503 = 13¹ × 17¹ × 43¹

Step-3: Factors of 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743

Step-4: Factors of 9503

List of positive integer factors of 9503 that divides 9486 without a remainder.

1, 13, 17, 43, 221, 559, 731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9486 and 9503. The biggest common factor number is the GCF number.
So the greatest common factor 9486 and 9503 is 17.

Also check out the Least Common Multiple of 9486 and 9503