What is the Greatest Common Factor of 76835 and 76855?

Greatest common factor (GCF) of 76835 and 76855 is 5.

GCF(76835,76855) = 5

We will now calculate the prime factors of 76835 and 76855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76835 and 76855.

How to find the GCF of 76835 and 76855?

We will first find the prime factorization of 76835 and 76855. After we will calculate the factors of 76835 and 76855 and find the biggest common factor number .

Step-1: Prime Factorization of 76835

Prime factors of 76835 are 5, 11, 127. Prime factorization of 76835 in exponential form is:

76835 = 5¹ × 11² × 127¹

Step-2: Prime Factorization of 76855

Prime factors of 76855 are 5, 19, 809. Prime factorization of 76855 in exponential form is:

76855 = 5¹ × 19¹ × 809¹

Step-3: Factors of 76835

List of positive integer factors of 76835 that divides 76835 without a remainder.

1, 5, 11, 55, 121, 127, 605, 635, 1397, 6985, 15367

Step-4: Factors of 76855

List of positive integer factors of 76855 that divides 76835 without a remainder.

1, 5, 19, 95, 809, 4045, 15371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76835 and 76855. The biggest common factor number is the GCF number.
So the greatest common factor 76835 and 76855 is 5.

Also check out the Least Common Multiple of 76835 and 76855