What is the Greatest Common Factor of 76815 and 76825?

Greatest common factor (GCF) of 76815 and 76825 is 5.

GCF(76815,76825) = 5

We will now calculate the prime factors of 76815 and 76825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76815 and 76825.

How to find the GCF of 76815 and 76825?

We will first find the prime factorization of 76815 and 76825. After we will calculate the factors of 76815 and 76825 and find the biggest common factor number .

Step-1: Prime Factorization of 76815

Prime factors of 76815 are 3, 5, 569. Prime factorization of 76815 in exponential form is:

76815 = 3³ × 5¹ × 569¹

Step-2: 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-3: Factors of 76815

List of positive integer factors of 76815 that divides 76815 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 569, 1707, 2845, 5121, 8535, 15363, 25605

Step-4: Factors of 76825

List of positive integer factors of 76825 that divides 76815 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76815 and 76825. The biggest common factor number is the GCF number.
So the greatest common factor 76815 and 76825 is 5.

Also check out the Least Common Multiple of 76815 and 76825