What is the Greatest Common Factor of 78875 and 78880?

Greatest common factor (GCF) of 78875 and 78880 is 5.

GCF(78875,78880) = 5

We will now calculate the prime factors of 78875 and 78880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78875 and 78880.

How to find the GCF of 78875 and 78880?

We will first find the prime factorization of 78875 and 78880. After we will calculate the factors of 78875 and 78880 and find the biggest common factor number .

Step-1: Prime Factorization of 78875

Prime factors of 78875 are 5, 631. Prime factorization of 78875 in exponential form is:

78875 = 5³ × 631¹

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 78875

List of positive integer factors of 78875 that divides 78875 without a remainder.

1, 5, 25, 125, 631, 3155, 15775

Step-4: Factors of 78880

List of positive integer factors of 78880 that divides 78875 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 78875 and 78880. The biggest common factor number is the GCF number.
So the greatest common factor 78875 and 78880 is 5.

Also check out the Least Common Multiple of 78875 and 78880