What is the Greatest Common Factor of 95409 and 95421?

Greatest common factor (GCF) of 95409 and 95421 is 3.

GCF(95409,95421) = 3

We will now calculate the prime factors of 95409 and 95421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95409 and 95421.

How to find the GCF of 95409 and 95421?

We will first find the prime factorization of 95409 and 95421. After we will calculate the factors of 95409 and 95421 and find the biggest common factor number .

Step-1: Prime Factorization of 95409

Prime factors of 95409 are 3, 10601. Prime factorization of 95409 in exponential form is:

95409 = 3² × 10601¹

Step-2: Prime Factorization of 95421

Prime factors of 95421 are 3, 17, 1871. Prime factorization of 95421 in exponential form is:

95421 = 3¹ × 17¹ × 1871¹

Step-3: Factors of 95409

List of positive integer factors of 95409 that divides 95409 without a remainder.

1, 3, 9, 10601, 31803

Step-4: Factors of 95421

List of positive integer factors of 95421 that divides 95409 without a remainder.

1, 3, 17, 51, 1871, 5613, 31807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95409 and 95421. The biggest common factor number is the GCF number.
So the greatest common factor 95409 and 95421 is 3.

Also check out the Least Common Multiple of 95409 and 95421