What is the Greatest Common Factor of 95683 and 95697?

Greatest common factor (GCF) of 95683 and 95697 is 7.

GCF(95683,95697) = 7

We will now calculate the prime factors of 95683 and 95697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95683 and 95697.

How to find the GCF of 95683 and 95697?

We will first find the prime factorization of 95683 and 95697. After we will calculate the factors of 95683 and 95697 and find the biggest common factor number .

Step-1: Prime Factorization of 95683

Prime factors of 95683 are 7, 13669. Prime factorization of 95683 in exponential form is:

95683 = 7¹ × 13669¹

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 95683

List of positive integer factors of 95683 that divides 95683 without a remainder.

1, 7, 13669

Step-4: Factors of 95697

List of positive integer factors of 95697 that divides 95683 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 95683 and 95697. The biggest common factor number is the GCF number.
So the greatest common factor 95683 and 95697 is 7.

Also check out the Least Common Multiple of 95683 and 95697