What is the Greatest Common Factor of 76785 and 76805?

Greatest common factor (GCF) of 76785 and 76805 is 5.

GCF(76785,76805) = 5

We will now calculate the prime factors of 76785 and 76805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76785 and 76805.

How to find the GCF of 76785 and 76805?

We will first find the prime factorization of 76785 and 76805. After we will calculate the factors of 76785 and 76805 and find the biggest common factor number .

Step-1: Prime Factorization of 76785

Prime factors of 76785 are 3, 5, 5119. Prime factorization of 76785 in exponential form is:

76785 = 3¹ × 5¹ × 5119¹

Step-2: Prime Factorization of 76805

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

76805 = 5¹ × 15361¹

Step-3: Factors of 76785

List of positive integer factors of 76785 that divides 76785 without a remainder.

1, 3, 5, 15, 5119, 15357, 25595

Step-4: Factors of 76805

List of positive integer factors of 76805 that divides 76785 without a remainder.

1, 5, 15361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76785 and 76805. The biggest common factor number is the GCF number.
So the greatest common factor 76785 and 76805 is 5.

Also check out the Least Common Multiple of 76785 and 76805