What is the Greatest Common Factor of 78864 and 78880?

Greatest common factor (GCF) of 78864 and 78880 is 16.

GCF(78864,78880) = 16

We will now calculate the prime factors of 78864 and 78880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78864 and 78880.

How to find the GCF of 78864 and 78880?

We will first find the prime factorization of 78864 and 78880. After we will calculate the factors of 78864 and 78880 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78880

Prime factors of 78880 are 2, 5, 17, 29. Prime factorization of 78880 in exponential form is:

78880 = 2⁵ × 5¹ × 17¹ × 29¹

Step-3: Factors of 78864

List of positive integer factors of 78864 that divides 78864 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

Step-4: Factors of 78880

List of positive integer factors of 78880 that divides 78864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 29, 32, 34, 40, 58, 68, 80, 85, 116, 136, 145, 160, 170, 232, 272, 290, 340, 464, 493, 544, 580, 680, 928, 986, 1160, 1360, 1972, 2320, 2465, 2720, 3944, 4640, 4930, 7888, 9860, 15776, 19720, 39440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78864 and 78880. The biggest common factor number is the GCF number.
So the greatest common factor 78864 and 78880 is 16.

Also check out the Least Common Multiple of 78864 and 78880