What is the Greatest Common Factor of 39408 and 39424?

Greatest common factor (GCF) of 39408 and 39424 is 16.

GCF(39408,39424) = 16

We will now calculate the prime factors of 39408 and 39424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39408 and 39424.

How to find the GCF of 39408 and 39424?

We will first find the prime factorization of 39408 and 39424. After we will calculate the factors of 39408 and 39424 and find the biggest common factor number .

Step-1: Prime Factorization of 39408

Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:

39408 = 2⁴ × 3¹ × 821¹

Step-2: 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-3: Factors of 39408

List of positive integer factors of 39408 that divides 39408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704

Step-4: Factors of 39424

List of positive integer factors of 39424 that divides 39408 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39408 and 39424. The biggest common factor number is the GCF number.
So the greatest common factor 39408 and 39424 is 16.

Also check out the Least Common Multiple of 39408 and 39424