What is the Greatest Common Factor of 65398 and 65417?

Greatest common factor (GCF) of 65398 and 65417 is 19.

GCF(65398,65417) = 19

We will now calculate the prime factors of 65398 and 65417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65398 and 65417.

How to find the GCF of 65398 and 65417?

We will first find the prime factorization of 65398 and 65417. After we will calculate the factors of 65398 and 65417 and find the biggest common factor number .

Step-1: Prime Factorization of 65398

Prime factors of 65398 are 2, 19, 1721. Prime factorization of 65398 in exponential form is:

65398 = 2¹ × 19¹ × 1721¹

Step-2: Prime Factorization of 65417

Prime factors of 65417 are 11, 19, 313. Prime factorization of 65417 in exponential form is:

65417 = 11¹ × 19¹ × 313¹

Step-3: Factors of 65398

List of positive integer factors of 65398 that divides 65398 without a remainder.

1, 2, 19, 38, 1721, 3442, 32699

Step-4: Factors of 65417

List of positive integer factors of 65417 that divides 65398 without a remainder.

1, 11, 19, 209, 313, 3443, 5947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65398 and 65417. The biggest common factor number is the GCF number.
So the greatest common factor 65398 and 65417 is 19.

Also check out the Least Common Multiple of 65398 and 65417