What is the Greatest Common Factor of 95697 and 95711?

Greatest common factor (GCF) of 95697 and 95711 is 7.

GCF(95697,95711) = 7

We will now calculate the prime factors of 95697 and 95711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95697 and 95711.

How to find the GCF of 95697 and 95711?

We will first find the prime factorization of 95697 and 95711. After we will calculate the factors of 95697 and 95711 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 95711

Prime factors of 95711 are 7, 11, 113. Prime factorization of 95711 in exponential form is:

95711 = 7¹ × 11² × 113¹

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 95711

List of positive integer factors of 95711 that divides 95697 without a remainder.

1, 7, 11, 77, 113, 121, 791, 847, 1243, 8701, 13673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95697 and 95711. The biggest common factor number is the GCF number.
So the greatest common factor 95697 and 95711 is 7.

Also check out the Least Common Multiple of 95697 and 95711