What is the Greatest Common Factor of 76807 and 76817?

Greatest common factor (GCF) of 76807 and 76817 is 1.

GCF(76807,76817) = 1

We will now calculate the prime factors of 76807 and 76817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76807 and 76817.

How to find the GCF of 76807 and 76817?

We will first find the prime factorization of 76807 and 76817. After we will calculate the factors of 76807 and 76817 and find the biggest common factor number .

Step-1: Prime Factorization of 76807

Prime factors of 76807 are 89, 863. Prime factorization of 76807 in exponential form is:

76807 = 89¹ × 863¹

Step-2: Prime Factorization of 76817

Prime factors of 76817 are 13, 19, 311. Prime factorization of 76817 in exponential form is:

76817 = 13¹ × 19¹ × 311¹

Step-3: Factors of 76807

List of positive integer factors of 76807 that divides 76807 without a remainder.

1, 89, 863

Step-4: Factors of 76817

List of positive integer factors of 76817 that divides 76807 without a remainder.

1, 13, 19, 247, 311, 4043, 5909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76807 and 76817. The biggest common factor number is the GCF number.
So the greatest common factor 76807 and 76817 is 1.

Also check out the Least Common Multiple of 76807 and 76817