What is the Greatest Common Factor of 76905 and 76917?

Greatest common factor (GCF) of 76905 and 76917 is 3.

GCF(76905,76917) = 3

We will now calculate the prime factors of 76905 and 76917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76905 and 76917.

How to find the GCF of 76905 and 76917?

We will first find the prime factorization of 76905 and 76917. After we will calculate the factors of 76905 and 76917 and find the biggest common factor number .

Step-1: Prime Factorization of 76905

Prime factors of 76905 are 3, 5, 1709. Prime factorization of 76905 in exponential form is:

76905 = 3² × 5¹ × 1709¹

Step-2: Prime Factorization of 76917

Prime factors of 76917 are 3, 25639. Prime factorization of 76917 in exponential form is:

76917 = 3¹ × 25639¹

Step-3: Factors of 76905

List of positive integer factors of 76905 that divides 76905 without a remainder.

1, 3, 5, 9, 15, 45, 1709, 5127, 8545, 15381, 25635

Step-4: Factors of 76917

List of positive integer factors of 76917 that divides 76905 without a remainder.

1, 3, 25639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76905 and 76917. The biggest common factor number is the GCF number.
So the greatest common factor 76905 and 76917 is 3.

Also check out the Least Common Multiple of 76905 and 76917