What is the Greatest Common Factor of 78880 and 78887?

Greatest common factor (GCF) of 78880 and 78887 is 1.

GCF(78880,78887) = 1

We will now calculate the prime factors of 78880 and 78887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78880 and 78887.

How to find the GCF of 78880 and 78887?

We will first find the prime factorization of 78880 and 78887. After we will calculate the factors of 78880 and 78887 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 78887

Prime factors of 78887 are 78887. Prime factorization of 78887 in exponential form is:

78887 = 78887¹

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 78887

List of positive integer factors of 78887 that divides 78880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78880 and 78887. The biggest common factor number is the GCF number.
So the greatest common factor 78880 and 78887 is 1.

Also check out the Least Common Multiple of 78880 and 78887