What is the Greatest Common Factor of 78864 and 78871?

Greatest common factor (GCF) of 78864 and 78871 is 1.

GCF(78864,78871) = 1

We will now calculate the prime factors of 78864 and 78871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78864 and 78871.

How to find the GCF of 78864 and 78871?

We will first find the prime factorization of 78864 and 78871. After we will calculate the factors of 78864 and 78871 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 78871

Prime factors of 78871 are 13, 6067. Prime factorization of 78871 in exponential form is:

78871 = 13¹ × 6067¹

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 78871

List of positive integer factors of 78871 that divides 78864 without a remainder.

1, 13, 6067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78864 and 78871. The biggest common factor number is the GCF number.
So the greatest common factor 78864 and 78871 is 1.

Also check out the Least Common Multiple of 78864 and 78871