What is the Greatest Common Factor of 95349 and 95355?

Greatest common factor (GCF) of 95349 and 95355 is 3.

GCF(95349,95355) = 3

We will now calculate the prime factors of 95349 and 95355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95349 and 95355.

How to find the GCF of 95349 and 95355?

We will first find the prime factorization of 95349 and 95355. After we will calculate the factors of 95349 and 95355 and find the biggest common factor number .

Step-1: Prime Factorization of 95349

Prime factors of 95349 are 3, 37, 859. Prime factorization of 95349 in exponential form is:

95349 = 3¹ × 37¹ × 859¹

Step-2: Prime Factorization of 95355

Prime factors of 95355 are 3, 5, 13, 163. Prime factorization of 95355 in exponential form is:

95355 = 3² × 5¹ × 13¹ × 163¹

Step-3: Factors of 95349

List of positive integer factors of 95349 that divides 95349 without a remainder.

1, 3, 37, 111, 859, 2577, 31783

Step-4: Factors of 95355

List of positive integer factors of 95355 that divides 95349 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 163, 195, 489, 585, 815, 1467, 2119, 2445, 6357, 7335, 10595, 19071, 31785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95349 and 95355. The biggest common factor number is the GCF number.
So the greatest common factor 95349 and 95355 is 3.

Also check out the Least Common Multiple of 95349 and 95355