What is the Greatest Common Factor of 95271 and 95289?

Greatest common factor (GCF) of 95271 and 95289 is 3.

GCF(95271,95289) = 3

We will now calculate the prime factors of 95271 and 95289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95271 and 95289.

How to find the GCF of 95271 and 95289?

We will first find the prime factorization of 95271 and 95289. After we will calculate the factors of 95271 and 95289 and find the biggest common factor number .

Step-1: Prime Factorization of 95271

Prime factors of 95271 are 3, 11, 2887. Prime factorization of 95271 in exponential form is:

95271 = 3¹ × 11¹ × 2887¹

Step-2: Prime Factorization of 95289

Prime factors of 95289 are 3, 23, 1381. Prime factorization of 95289 in exponential form is:

95289 = 3¹ × 23¹ × 1381¹

Step-3: Factors of 95271

List of positive integer factors of 95271 that divides 95271 without a remainder.

1, 3, 11, 33, 2887, 8661, 31757

Step-4: Factors of 95289

List of positive integer factors of 95289 that divides 95271 without a remainder.

1, 3, 23, 69, 1381, 4143, 31763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95271 and 95289. The biggest common factor number is the GCF number.
So the greatest common factor 95271 and 95289 is 3.

Also check out the Least Common Multiple of 95271 and 95289