What is the Greatest Common Factor of 78801 and 78817?

Greatest common factor (GCF) of 78801 and 78817 is 1.

GCF(78801,78817) = 1

We will now calculate the prime factors of 78801 and 78817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78801 and 78817.

How to find the GCF of 78801 and 78817?

We will first find the prime factorization of 78801 and 78817. After we will calculate the factors of 78801 and 78817 and find the biggest common factor number .

Step-1: Prime Factorization of 78801

Prime factors of 78801 are 3, 26267. Prime factorization of 78801 in exponential form is:

78801 = 3¹ × 26267¹

Step-2: Prime Factorization of 78817

Prime factors of 78817 are 269, 293. Prime factorization of 78817 in exponential form is:

78817 = 269¹ × 293¹

Step-3: Factors of 78801

List of positive integer factors of 78801 that divides 78801 without a remainder.

1, 3, 26267

Step-4: Factors of 78817

List of positive integer factors of 78817 that divides 78801 without a remainder.

1, 269, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78801 and 78817. The biggest common factor number is the GCF number.
So the greatest common factor 78801 and 78817 is 1.

Also check out the Least Common Multiple of 78801 and 78817