What is the Greatest Common Factor of 76825 and 76830?

Greatest common factor (GCF) of 76825 and 76830 is 5.

GCF(76825,76830) = 5

We will now calculate the prime factors of 76825 and 76830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76825 and 76830.

How to find the GCF of 76825 and 76830?

We will first find the prime factorization of 76825 and 76830. After we will calculate the factors of 76825 and 76830 and find the biggest common factor number .

Step-1: Prime Factorization of 76825

Prime factors of 76825 are 5, 7, 439. Prime factorization of 76825 in exponential form is:

76825 = 5² × 7¹ × 439¹

Step-2: 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-3: Factors of 76825

List of positive integer factors of 76825 that divides 76825 without a remainder.

1, 5, 7, 25, 35, 175, 439, 2195, 3073, 10975, 15365

Step-4: Factors of 76830

List of positive integer factors of 76830 that divides 76825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76825 and 76830. The biggest common factor number is the GCF number.
So the greatest common factor 76825 and 76830 is 5.

Also check out the Least Common Multiple of 76825 and 76830