What is the Greatest Common Factor of 78860 and 78880?

Greatest common factor (GCF) of 78860 and 78880 is 20.

GCF(78860,78880) = 20

We will now calculate the prime factors of 78860 and 78880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78860 and 78880.

How to find the GCF of 78860 and 78880?

We will first find the prime factorization of 78860 and 78880. After we will calculate the factors of 78860 and 78880 and find the biggest common factor number .

Step-1: Prime Factorization of 78860

Prime factors of 78860 are 2, 5, 3943. Prime factorization of 78860 in exponential form is:

78860 = 2² × 5¹ × 3943¹

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 78860

List of positive integer factors of 78860 that divides 78860 without a remainder.

1, 2, 4, 5, 10, 20, 3943, 7886, 15772, 19715, 39430

Step-4: Factors of 78880

List of positive integer factors of 78880 that divides 78860 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 78860 and 78880. The biggest common factor number is the GCF number.
So the greatest common factor 78860 and 78880 is 20.

Also check out the Least Common Multiple of 78860 and 78880