What is the Greatest Common Factor of 39474 and 39483?

Greatest common factor (GCF) of 39474 and 39483 is 9.

GCF(39474,39483) = 9

We will now calculate the prime factors of 39474 and 39483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39474 and 39483.

How to find the GCF of 39474 and 39483?

We will first find the prime factorization of 39474 and 39483. After we will calculate the factors of 39474 and 39483 and find the biggest common factor number .

Step-1: Prime Factorization of 39474

Prime factors of 39474 are 2, 3, 17, 43. Prime factorization of 39474 in exponential form is:

39474 = 2¹ × 3³ × 17¹ × 43¹

Step-2: Prime Factorization of 39483

Prime factors of 39483 are 3, 41, 107. Prime factorization of 39483 in exponential form is:

39483 = 3² × 41¹ × 107¹

Step-3: Factors of 39474

List of positive integer factors of 39474 that divides 39474 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 43, 51, 54, 86, 102, 129, 153, 258, 306, 387, 459, 731, 774, 918, 1161, 1462, 2193, 2322, 4386, 6579, 13158, 19737

Step-4: Factors of 39483

List of positive integer factors of 39483 that divides 39474 without a remainder.

1, 3, 9, 41, 107, 123, 321, 369, 963, 4387, 13161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39474 and 39483. The biggest common factor number is the GCF number.
So the greatest common factor 39474 and 39483 is 9.

Also check out the Least Common Multiple of 39474 and 39483