What is the Greatest Common Factor of 95795 and 95809?

Greatest common factor (GCF) of 95795 and 95809 is 7.

GCF(95795,95809) = 7

We will now calculate the prime factors of 95795 and 95809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95795 and 95809.

How to find the GCF of 95795 and 95809?

We will first find the prime factorization of 95795 and 95809. After we will calculate the factors of 95795 and 95809 and find the biggest common factor number .

Step-1: Prime Factorization of 95795

Prime factors of 95795 are 5, 7, 17, 23. Prime factorization of 95795 in exponential form is:

95795 = 5¹ × 7² × 17¹ × 23¹

Step-2: Prime Factorization of 95809

Prime factors of 95809 are 7, 13687. Prime factorization of 95809 in exponential form is:

95809 = 7¹ × 13687¹

Step-3: Factors of 95795

List of positive integer factors of 95795 that divides 95795 without a remainder.

1, 5, 7, 17, 23, 35, 49, 85, 115, 119, 161, 245, 391, 595, 805, 833, 1127, 1955, 2737, 4165, 5635, 13685, 19159

Step-4: Factors of 95809

List of positive integer factors of 95809 that divides 95795 without a remainder.

1, 7, 13687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95795 and 95809. The biggest common factor number is the GCF number.
So the greatest common factor 95795 and 95809 is 7.

Also check out the Least Common Multiple of 95795 and 95809