What is the Greatest Common Factor of 78865 and 78880?

Greatest common factor (GCF) of 78865 and 78880 is 5.

GCF(78865,78880) = 5

We will now calculate the prime factors of 78865 and 78880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78865 and 78880.

How to find the GCF of 78865 and 78880?

We will first find the prime factorization of 78865 and 78880. After we will calculate the factors of 78865 and 78880 and find the biggest common factor number .

Step-1: Prime Factorization of 78865

Prime factors of 78865 are 5, 15773. Prime factorization of 78865 in exponential form is:

78865 = 5¹ × 15773¹

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 78865

List of positive integer factors of 78865 that divides 78865 without a remainder.

1, 5, 15773

Step-4: Factors of 78880

List of positive integer factors of 78880 that divides 78865 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 78865 and 78880. The biggest common factor number is the GCF number.
So the greatest common factor 78865 and 78880 is 5.

Also check out the Least Common Multiple of 78865 and 78880