What is the Greatest Common Factor of 95685 and 95697?

Greatest common factor (GCF) of 95685 and 95697 is 3.

GCF(95685,95697) = 3

We will now calculate the prime factors of 95685 and 95697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95685 and 95697.

How to find the GCF of 95685 and 95697?

We will first find the prime factorization of 95685 and 95697. After we will calculate the factors of 95685 and 95697 and find the biggest common factor number .

Step-1: Prime Factorization of 95685

Prime factors of 95685 are 3, 5, 6379. Prime factorization of 95685 in exponential form is:

95685 = 3¹ × 5¹ × 6379¹

Step-2: 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-3: Factors of 95685

List of positive integer factors of 95685 that divides 95685 without a remainder.

1, 3, 5, 15, 6379, 19137, 31895

Step-4: Factors of 95697

List of positive integer factors of 95697 that divides 95685 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95685 and 95697. The biggest common factor number is the GCF number.
So the greatest common factor 95685 and 95697 is 3.

Also check out the Least Common Multiple of 95685 and 95697