What is the Greatest Common Factor of 39424 and 39440?

Greatest common factor (GCF) of 39424 and 39440 is 16.

GCF(39424,39440) = 16

We will now calculate the prime factors of 39424 and 39440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39424 and 39440.

How to find the GCF of 39424 and 39440?

We will first find the prime factorization of 39424 and 39440. After we will calculate the factors of 39424 and 39440 and find the biggest common factor number .

Step-1: Prime Factorization of 39424

Prime factors of 39424 are 2, 7, 11. Prime factorization of 39424 in exponential form is:

39424 = 2⁹ × 7¹ × 11¹

Step-2: 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-3: Factors of 39424

List of positive integer factors of 39424 that divides 39424 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 256, 308, 352, 448, 512, 616, 704, 896, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 9856, 19712

Step-4: Factors of 39440

List of positive integer factors of 39440 that divides 39424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39424 and 39440. The biggest common factor number is the GCF number.
So the greatest common factor 39424 and 39440 is 16.

Also check out the Least Common Multiple of 39424 and 39440