What is the Greatest Common Factor of 76830 and 76845?

Greatest common factor (GCF) of 76830 and 76845 is 15.

GCF(76830,76845) = 15

We will now calculate the prime factors of 76830 and 76845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76830 and 76845.

How to find the GCF of 76830 and 76845?

We will first find the prime factorization of 76830 and 76845. After we will calculate the factors of 76830 and 76845 and find the biggest common factor number .

Step-1: Prime Factorization of 76830

Prime factors of 76830 are 2, 3, 5, 13, 197. Prime factorization of 76830 in exponential form is:

76830 = 2¹ × 3¹ × 5¹ × 13¹ × 197¹

Step-2: Prime Factorization of 76845

Prime factors of 76845 are 3, 5, 47, 109. Prime factorization of 76845 in exponential form is:

76845 = 3¹ × 5¹ × 47¹ × 109¹

Step-3: Factors of 76830

List of positive integer factors of 76830 that divides 76830 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 197, 390, 394, 591, 985, 1182, 1970, 2561, 2955, 5122, 5910, 7683, 12805, 15366, 25610, 38415

Step-4: Factors of 76845

List of positive integer factors of 76845 that divides 76830 without a remainder.

1, 3, 5, 15, 47, 109, 141, 235, 327, 545, 705, 1635, 5123, 15369, 25615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76830 and 76845. The biggest common factor number is the GCF number.
So the greatest common factor 76830 and 76845 is 15.

Also check out the Least Common Multiple of 76830 and 76845