What is the Greatest Common Factor of 95697 and 95715?

Greatest common factor (GCF) of 95697 and 95715 is 9.

GCF(95697,95715) = 9

We will now calculate the prime factors of 95697 and 95715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95697 and 95715.

How to find the GCF of 95697 and 95715?

We will first find the prime factorization of 95697 and 95715. After we will calculate the factors of 95697 and 95715 and find the biggest common factor number .

Step-1: Prime Factorization of 95697

Prime factors of 95697 are 3, 7, 31. Prime factorization of 95697 in exponential form is:

95697 = 3² × 7³ × 31¹

Step-2: Prime Factorization of 95715

Prime factors of 95715 are 3, 5, 709. Prime factorization of 95715 in exponential form is:

95715 = 3³ × 5¹ × 709¹

Step-3: Factors of 95697

List of positive integer factors of 95697 that divides 95697 without a remainder.

1, 3, 7, 9, 21, 31, 49, 63, 93, 147, 217, 279, 343, 441, 651, 1029, 1519, 1953, 3087, 4557, 10633, 13671, 31899

Step-4: Factors of 95715

List of positive integer factors of 95715 that divides 95697 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 709, 2127, 3545, 6381, 10635, 19143, 31905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95697 and 95715. The biggest common factor number is the GCF number.
So the greatest common factor 95697 and 95715 is 9.

Also check out the Least Common Multiple of 95697 and 95715