What is the Greatest Common Factor of 76845 and 76850?

Greatest common factor (GCF) of 76845 and 76850 is 5.

GCF(76845,76850) = 5

We will now calculate the prime factors of 76845 and 76850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76845 and 76850.

How to find the GCF of 76845 and 76850?

We will first find the prime factorization of 76845 and 76850. After we will calculate the factors of 76845 and 76850 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76850

Prime factors of 76850 are 2, 5, 29, 53. Prime factorization of 76850 in exponential form is:

76850 = 2¹ × 5² × 29¹ × 53¹

Step-3: Factors of 76845

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

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

Step-4: Factors of 76850

List of positive integer factors of 76850 that divides 76845 without a remainder.

1, 2, 5, 10, 25, 29, 50, 53, 58, 106, 145, 265, 290, 530, 725, 1325, 1450, 1537, 2650, 3074, 7685, 15370, 38425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76845 and 76850. The biggest common factor number is the GCF number.
So the greatest common factor 76845 and 76850 is 5.

Also check out the Least Common Multiple of 76845 and 76850