What is the Greatest Common Factor of 95795 and 95813?

Greatest common factor (GCF) of 95795 and 95813 is 1.

GCF(95795,95813) = 1

We will now calculate the prime factors of 95795 and 95813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95795 and 95813.

How to find the GCF of 95795 and 95813?

We will first find the prime factorization of 95795 and 95813. After we will calculate the factors of 95795 and 95813 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 95813

Prime factors of 95813 are 95813. Prime factorization of 95813 in exponential form is:

95813 = 95813¹

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 95813

List of positive integer factors of 95813 that divides 95795 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95795 and 95813. The biggest common factor number is the GCF number.
So the greatest common factor 95795 and 95813 is 1.

Also check out the Least Common Multiple of 95795 and 95813