What is the Greatest Common Factor of 78008 and 78017?

Greatest common factor (GCF) of 78008 and 78017 is 1.

GCF(78008,78017) = 1

We will now calculate the prime factors of 78008 and 78017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78008 and 78017.

How to find the GCF of 78008 and 78017?

We will first find the prime factorization of 78008 and 78017. After we will calculate the factors of 78008 and 78017 and find the biggest common factor number .

Step-1: Prime Factorization of 78008

Prime factors of 78008 are 2, 7, 199. Prime factorization of 78008 in exponential form is:

78008 = 2³ × 7² × 199¹

Step-2: Prime Factorization of 78017

Prime factors of 78017 are 78017. Prime factorization of 78017 in exponential form is:

78017 = 78017¹

Step-3: Factors of 78008

List of positive integer factors of 78008 that divides 78008 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 199, 392, 398, 796, 1393, 1592, 2786, 5572, 9751, 11144, 19502, 39004

Step-4: Factors of 78017

List of positive integer factors of 78017 that divides 78008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78008 and 78017. The biggest common factor number is the GCF number.
So the greatest common factor 78008 and 78017 is 1.

Also check out the Least Common Multiple of 78008 and 78017