What is the Greatest Common Factor of 95388 and 95397?

Greatest common factor (GCF) of 95388 and 95397 is 3.

GCF(95388,95397) = 3

We will now calculate the prime factors of 95388 and 95397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95388 and 95397.

How to find the GCF of 95388 and 95397?

We will first find the prime factorization of 95388 and 95397. After we will calculate the factors of 95388 and 95397 and find the biggest common factor number .

Step-1: Prime Factorization of 95388

Prime factors of 95388 are 2, 3, 7949. Prime factorization of 95388 in exponential form is:

95388 = 2² × 3¹ × 7949¹

Step-2: Prime Factorization of 95397

Prime factors of 95397 are 3, 31799. Prime factorization of 95397 in exponential form is:

95397 = 3¹ × 31799¹

Step-3: Factors of 95388

List of positive integer factors of 95388 that divides 95388 without a remainder.

1, 2, 3, 4, 6, 12, 7949, 15898, 23847, 31796, 47694

Step-4: Factors of 95397

List of positive integer factors of 95397 that divides 95388 without a remainder.

1, 3, 31799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95388 and 95397. The biggest common factor number is the GCF number.
So the greatest common factor 95388 and 95397 is 3.

Also check out the Least Common Multiple of 95388 and 95397