What is the Greatest Common Factor of 76805 and 76809?

Greatest common factor (GCF) of 76805 and 76809 is 1.

GCF(76805,76809) = 1

We will now calculate the prime factors of 76805 and 76809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76805 and 76809.

How to find the GCF of 76805 and 76809?

We will first find the prime factorization of 76805 and 76809. After we will calculate the factors of 76805 and 76809 and find the biggest common factor number .

Step-1: Prime Factorization of 76805

Prime factors of 76805 are 5, 15361. Prime factorization of 76805 in exponential form is:

76805 = 5¹ × 15361¹

Step-2: Prime Factorization of 76809

Prime factors of 76809 are 3, 25603. Prime factorization of 76809 in exponential form is:

76809 = 3¹ × 25603¹

Step-3: Factors of 76805

List of positive integer factors of 76805 that divides 76805 without a remainder.

1, 5, 15361

Step-4: Factors of 76809

List of positive integer factors of 76809 that divides 76805 without a remainder.

1, 3, 25603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76805 and 76809. The biggest common factor number is the GCF number.
So the greatest common factor 76805 and 76809 is 1.

Also check out the Least Common Multiple of 76805 and 76809