What is the Greatest Common Factor of 65385 and 65398?

Greatest common factor (GCF) of 65385 and 65398 is 1.

GCF(65385,65398) = 1

We will now calculate the prime factors of 65385 and 65398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65385 and 65398.

How to find the GCF of 65385 and 65398?

We will first find the prime factorization of 65385 and 65398. After we will calculate the factors of 65385 and 65398 and find the biggest common factor number .

Step-1: Prime Factorization of 65385

Prime factors of 65385 are 3, 5, 1453. Prime factorization of 65385 in exponential form is:

65385 = 3² × 5¹ × 1453¹

Step-2: 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-3: Factors of 65385

List of positive integer factors of 65385 that divides 65385 without a remainder.

1, 3, 5, 9, 15, 45, 1453, 4359, 7265, 13077, 21795

Step-4: Factors of 65398

List of positive integer factors of 65398 that divides 65385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65385 and 65398. The biggest common factor number is the GCF number.
So the greatest common factor 65385 and 65398 is 1.

Also check out the Least Common Multiple of 65385 and 65398