What is the Greatest Common Factor of 9469 and 9486?

Greatest common factor (GCF) of 9469 and 9486 is 17.

GCF(9469,9486) = 17

We will now calculate the prime factors of 9469 and 9486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9469 and 9486.

How to find the GCF of 9469 and 9486?

We will first find the prime factorization of 9469 and 9486. After we will calculate the factors of 9469 and 9486 and find the biggest common factor number .

Step-1: Prime Factorization of 9469

Prime factors of 9469 are 17, 557. Prime factorization of 9469 in exponential form is:

9469 = 17¹ × 557¹

Step-2: 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-3: Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1, 17, 557

Step-4: Factors of 9486

List of positive integer factors of 9486 that divides 9469 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9469 and 9486. The biggest common factor number is the GCF number.
So the greatest common factor 9469 and 9486 is 17.

Also check out the Least Common Multiple of 9469 and 9486