What is the Greatest Common Factor of 78848 and 78864?

Greatest common factor (GCF) of 78848 and 78864 is 16.

GCF(78848,78864) = 16

We will now calculate the prime factors of 78848 and 78864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78848 and 78864.

How to find the GCF of 78848 and 78864?

We will first find the prime factorization of 78848 and 78864. After we will calculate the factors of 78848 and 78864 and find the biggest common factor number .

Step-1: Prime Factorization of 78848

Prime factors of 78848 are 2, 7, 11. Prime factorization of 78848 in exponential form is:

78848 = 2¹⁰ × 7¹ × 11¹

Step-2: Prime Factorization of 78864

Prime factors of 78864 are 2, 3, 31, 53. Prime factorization of 78864 in exponential form is:

78864 = 2⁴ × 3¹ × 31¹ × 53¹

Step-3: Factors of 78848

List of positive integer factors of 78848 that divides 78848 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, 1024, 1232, 1408, 1792, 2464, 2816, 3584, 4928, 5632, 7168, 9856, 11264, 19712, 39424

Step-4: Factors of 78864

List of positive integer factors of 78864 that divides 78848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 53, 62, 93, 106, 124, 159, 186, 212, 248, 318, 372, 424, 496, 636, 744, 848, 1272, 1488, 1643, 2544, 3286, 4929, 6572, 9858, 13144, 19716, 26288, 39432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78848 and 78864. The biggest common factor number is the GCF number.
So the greatest common factor 78848 and 78864 is 16.

Also check out the Least Common Multiple of 78848 and 78864