What is the Greatest Common Factor of 78880 and 78885?

Greatest common factor (GCF) of 78880 and 78885 is 5.

GCF(78880,78885) = 5

We will now calculate the prime factors of 78880 and 78885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78880 and 78885.

How to find the GCF of 78880 and 78885?

We will first find the prime factorization of 78880 and 78885. After we will calculate the factors of 78880 and 78885 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 78885

Prime factors of 78885 are 3, 5, 1753. Prime factorization of 78885 in exponential form is:

78885 = 3² × 5¹ × 1753¹

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 78885

List of positive integer factors of 78885 that divides 78880 without a remainder.

1, 3, 5, 9, 15, 45, 1753, 5259, 8765, 15777, 26295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78880 and 78885. The biggest common factor number is the GCF number.
So the greatest common factor 78880 and 78885 is 5.

Also check out the Least Common Multiple of 78880 and 78885