What is the Greatest Common Factor of 39456 and 39474?

Greatest common factor (GCF) of 39456 and 39474 is 18.

GCF(39456,39474) = 18

We will now calculate the prime factors of 39456 and 39474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39456 and 39474.

How to find the GCF of 39456 and 39474?

We will first find the prime factorization of 39456 and 39474. After we will calculate the factors of 39456 and 39474 and find the biggest common factor number .

Step-1: Prime Factorization of 39456

Prime factors of 39456 are 2, 3, 137. Prime factorization of 39456 in exponential form is:

39456 = 2⁵ × 3² × 137¹

Step-2: 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-3: Factors of 39456

List of positive integer factors of 39456 that divides 39456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 137, 144, 274, 288, 411, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 4384, 4932, 6576, 9864, 13152, 19728

Step-4: Factors of 39474

List of positive integer factors of 39474 that divides 39456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39456 and 39474. The biggest common factor number is the GCF number.
So the greatest common factor 39456 and 39474 is 18.

Also check out the Least Common Multiple of 39456 and 39474