What is the Greatest Common Factor of 9474 and 9483?

Greatest common factor (GCF) of 9474 and 9483 is 3.

GCF(9474,9483) = 3

We will now calculate the prime factors of 9474 and 9483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9474 and 9483.

How to find the GCF of 9474 and 9483?

We will first find the prime factorization of 9474 and 9483. After we will calculate the factors of 9474 and 9483 and find the biggest common factor number .

Step-1: Prime Factorization of 9474

Prime factors of 9474 are 2, 3, 1579. Prime factorization of 9474 in exponential form is:

9474 = 2¹ × 3¹ × 1579¹

Step-2: Prime Factorization of 9483

Prime factors of 9483 are 3, 29, 109. Prime factorization of 9483 in exponential form is:

9483 = 3¹ × 29¹ × 109¹

Step-3: Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737

Step-4: Factors of 9483

List of positive integer factors of 9483 that divides 9474 without a remainder.

1, 3, 29, 87, 109, 327, 3161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9474 and 9483. The biggest common factor number is the GCF number.
So the greatest common factor 9474 and 9483 is 3.

Also check out the Least Common Multiple of 9474 and 9483