What is the Greatest Common Factor of 95965 and 95985?

Greatest common factor (GCF) of 95965 and 95985 is 5.

GCF(95965,95985) = 5

We will now calculate the prime factors of 95965 and 95985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95965 and 95985.

How to find the GCF of 95965 and 95985?

We will first find the prime factorization of 95965 and 95985. After we will calculate the factors of 95965 and 95985 and find the biggest common factor number .

Step-1: Prime Factorization of 95965

Prime factors of 95965 are 5, 17, 1129. Prime factorization of 95965 in exponential form is:

95965 = 5¹ × 17¹ × 1129¹

Step-2: Prime Factorization of 95985

Prime factors of 95985 are 3, 5, 79. Prime factorization of 95985 in exponential form is:

95985 = 3⁵ × 5¹ × 79¹

Step-3: Factors of 95965

List of positive integer factors of 95965 that divides 95965 without a remainder.

1, 5, 17, 85, 1129, 5645, 19193

Step-4: Factors of 95985

List of positive integer factors of 95985 that divides 95965 without a remainder.

1, 3, 5, 9, 15, 27, 45, 79, 81, 135, 237, 243, 395, 405, 711, 1185, 1215, 2133, 3555, 6399, 10665, 19197, 31995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95965 and 95985. The biggest common factor number is the GCF number.
So the greatest common factor 95965 and 95985 is 5.

Also check out the Least Common Multiple of 95965 and 95985