What is the Greatest Common Factor of 95711 and 95722?

Greatest common factor (GCF) of 95711 and 95722 is 11.

GCF(95711,95722) = 11

We will now calculate the prime factors of 95711 and 95722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95711 and 95722.

How to find the GCF of 95711 and 95722?

We will first find the prime factorization of 95711 and 95722. After we will calculate the factors of 95711 and 95722 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95722

Prime factors of 95722 are 2, 11, 19, 229. Prime factorization of 95722 in exponential form is:

95722 = 2¹ × 11¹ × 19¹ × 229¹

Step-3: Factors of 95711

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

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

Step-4: Factors of 95722

List of positive integer factors of 95722 that divides 95711 without a remainder.

1, 2, 11, 19, 22, 38, 209, 229, 418, 458, 2519, 4351, 5038, 8702, 47861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95711 and 95722. The biggest common factor number is the GCF number.
So the greatest common factor 95711 and 95722 is 11.

Also check out the Least Common Multiple of 95711 and 95722