What is the Greatest Common Factor of 78880 and 78891?

Greatest common factor (GCF) of 78880 and 78891 is 1.

GCF(78880,78891) = 1

We will now calculate the prime factors of 78880 and 78891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78880 and 78891.

How to find the GCF of 78880 and 78891?

We will first find the prime factorization of 78880 and 78891. After we will calculate the factors of 78880 and 78891 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78891

Prime factors of 78891 are 3, 26297. Prime factorization of 78891 in exponential form is:

78891 = 3¹ × 26297¹

Step-3: Factors of 78880

List of positive integer factors of 78880 that divides 78880 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

Step-4: Factors of 78891

List of positive integer factors of 78891 that divides 78880 without a remainder.

1, 3, 26297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78880 and 78891. The biggest common factor number is the GCF number.
So the greatest common factor 78880 and 78891 is 1.

Also check out the Least Common Multiple of 78880 and 78891