What is the Greatest Common Factor of 39440 and 39456?

Greatest common factor (GCF) of 39440 and 39456 is 16.

GCF(39440,39456) = 16

We will now calculate the prime factors of 39440 and 39456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39440 and 39456.

How to find the GCF of 39440 and 39456?

We will first find the prime factorization of 39440 and 39456. After we will calculate the factors of 39440 and 39456 and find the biggest common factor number .

Step-1: Prime Factorization of 39440

Prime factors of 39440 are 2, 5, 17, 29. Prime factorization of 39440 in exponential form is:

39440 = 2⁴ × 5¹ × 17¹ × 29¹

Step-2: 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-3: Factors of 39440

List of positive integer factors of 39440 that divides 39440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 29, 34, 40, 58, 68, 80, 85, 116, 136, 145, 170, 232, 272, 290, 340, 464, 493, 580, 680, 986, 1160, 1360, 1972, 2320, 2465, 3944, 4930, 7888, 9860, 19720

Step-4: Factors of 39456

List of positive integer factors of 39456 that divides 39440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39440 and 39456. The biggest common factor number is the GCF number.
So the greatest common factor 39440 and 39456 is 16.

Also check out the Least Common Multiple of 39440 and 39456