What is the Greatest Common Factor of 95660 and 95665?

Greatest common factor (GCF) of 95660 and 95665 is 5.

GCF(95660,95665) = 5

We will now calculate the prime factors of 95660 and 95665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95660 and 95665.

How to find the GCF of 95660 and 95665?

We will first find the prime factorization of 95660 and 95665. After we will calculate the factors of 95660 and 95665 and find the biggest common factor number .

Step-1: Prime Factorization of 95660

Prime factors of 95660 are 2, 5, 4783. Prime factorization of 95660 in exponential form is:

95660 = 2² × 5¹ × 4783¹

Step-2: Prime Factorization of 95665

Prime factors of 95665 are 5, 19, 53. Prime factorization of 95665 in exponential form is:

95665 = 5¹ × 19² × 53¹

Step-3: Factors of 95660

List of positive integer factors of 95660 that divides 95660 without a remainder.

1, 2, 4, 5, 10, 20, 4783, 9566, 19132, 23915, 47830

Step-4: Factors of 95665

List of positive integer factors of 95665 that divides 95660 without a remainder.

1, 5, 19, 53, 95, 265, 361, 1007, 1805, 5035, 19133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95660 and 95665. The biggest common factor number is the GCF number.
So the greatest common factor 95660 and 95665 is 5.

Also check out the Least Common Multiple of 95660 and 95665