What is the Greatest Common Factor of 76565 and 76575?

Greatest common factor (GCF) of 76565 and 76575 is 5.

GCF(76565,76575) = 5

We will now calculate the prime factors of 76565 and 76575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76565 and 76575.

How to find the GCF of 76565 and 76575?

We will first find the prime factorization of 76565 and 76575. After we will calculate the factors of 76565 and 76575 and find the biggest common factor number .

Step-1: Prime Factorization of 76565

Prime factors of 76565 are 5, 15313. Prime factorization of 76565 in exponential form is:

76565 = 5¹ × 15313¹

Step-2: Prime Factorization of 76575

Prime factors of 76575 are 3, 5, 1021. Prime factorization of 76575 in exponential form is:

76575 = 3¹ × 5² × 1021¹

Step-3: Factors of 76565

List of positive integer factors of 76565 that divides 76565 without a remainder.

1, 5, 15313

Step-4: Factors of 76575

List of positive integer factors of 76575 that divides 76565 without a remainder.

1, 3, 5, 15, 25, 75, 1021, 3063, 5105, 15315, 25525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76565 and 76575. The biggest common factor number is the GCF number.
So the greatest common factor 76565 and 76575 is 5.

Also check out the Least Common Multiple of 76565 and 76575