What is the Greatest Common Factor of 76959 and 76965?

Greatest common factor (GCF) of 76959 and 76965 is 3.

GCF(76959,76965) = 3

We will now calculate the prime factors of 76959 and 76965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76959 and 76965.

How to find the GCF of 76959 and 76965?

We will first find the prime factorization of 76959 and 76965. After we will calculate the factors of 76959 and 76965 and find the biggest common factor number .

Step-1: Prime Factorization of 76959

Prime factors of 76959 are 3, 17, 503. Prime factorization of 76959 in exponential form is:

76959 = 3² × 17¹ × 503¹

Step-2: Prime Factorization of 76965

Prime factors of 76965 are 3, 5, 7, 733. Prime factorization of 76965 in exponential form is:

76965 = 3¹ × 5¹ × 7¹ × 733¹

Step-3: Factors of 76959

List of positive integer factors of 76959 that divides 76959 without a remainder.

1, 3, 9, 17, 51, 153, 503, 1509, 4527, 8551, 25653

Step-4: Factors of 76965

List of positive integer factors of 76965 that divides 76959 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 733, 2199, 3665, 5131, 10995, 15393, 25655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76959 and 76965. The biggest common factor number is the GCF number.
So the greatest common factor 76959 and 76965 is 3.

Also check out the Least Common Multiple of 76959 and 76965