What is the Greatest Common Factor of 76965 and 76980?

Greatest common factor (GCF) of 76965 and 76980 is 15.

GCF(76965,76980) = 15

We will now calculate the prime factors of 76965 and 76980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76965 and 76980.

How to find the GCF of 76965 and 76980?

We will first find the prime factorization of 76965 and 76980. After we will calculate the factors of 76965 and 76980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76980

Prime factors of 76980 are 2, 3, 5, 1283. Prime factorization of 76980 in exponential form is:

76980 = 2² × 3¹ × 5¹ × 1283¹

Step-3: Factors of 76965

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

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

Step-4: Factors of 76980

List of positive integer factors of 76980 that divides 76965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1283, 2566, 3849, 5132, 6415, 7698, 12830, 15396, 19245, 25660, 38490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76965 and 76980. The biggest common factor number is the GCF number.
So the greatest common factor 76965 and 76980 is 15.

Also check out the Least Common Multiple of 76965 and 76980