What is the Greatest Common Factor of 95691 and 95709?

Greatest common factor (GCF) of 95691 and 95709 is 3.

GCF(95691,95709) = 3

We will now calculate the prime factors of 95691 and 95709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95691 and 95709.

How to find the GCF of 95691 and 95709?

We will first find the prime factorization of 95691 and 95709. After we will calculate the factors of 95691 and 95709 and find the biggest common factor number .

Step-1: Prime Factorization of 95691

Prime factors of 95691 are 3, 167, 191. Prime factorization of 95691 in exponential form is:

95691 = 3¹ × 167¹ × 191¹

Step-2: Prime Factorization of 95709

Prime factors of 95709 are 3, 61, 523. Prime factorization of 95709 in exponential form is:

95709 = 3¹ × 61¹ × 523¹

Step-3: Factors of 95691

List of positive integer factors of 95691 that divides 95691 without a remainder.

1, 3, 167, 191, 501, 573, 31897

Step-4: Factors of 95709

List of positive integer factors of 95709 that divides 95691 without a remainder.

1, 3, 61, 183, 523, 1569, 31903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95691 and 95709. The biggest common factor number is the GCF number.
So the greatest common factor 95691 and 95709 is 3.

Also check out the Least Common Multiple of 95691 and 95709