What is the Greatest Common Factor of 93898 and 93917?

Greatest common factor (GCF) of 93898 and 93917 is 19.

GCF(93898,93917) = 19

We will now calculate the prime factors of 93898 and 93917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93898 and 93917.

How to find the GCF of 93898 and 93917?

We will first find the prime factorization of 93898 and 93917. After we will calculate the factors of 93898 and 93917 and find the biggest common factor number .

Step-1: Prime Factorization of 93898

Prime factors of 93898 are 2, 7, 19, 353. Prime factorization of 93898 in exponential form is:

93898 = 2¹ × 7¹ × 19¹ × 353¹

Step-2: Prime Factorization of 93917

Prime factors of 93917 are 19, 4943. Prime factorization of 93917 in exponential form is:

93917 = 19¹ × 4943¹

Step-3: Factors of 93898

List of positive integer factors of 93898 that divides 93898 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 353, 706, 2471, 4942, 6707, 13414, 46949

Step-4: Factors of 93917

List of positive integer factors of 93917 that divides 93898 without a remainder.

1, 19, 4943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93898 and 93917. The biggest common factor number is the GCF number.
So the greatest common factor 93898 and 93917 is 19.

Also check out the Least Common Multiple of 93898 and 93917