What is the Greatest Common Factor of 65337 and 65343?

Greatest common factor (GCF) of 65337 and 65343 is 3.

GCF(65337,65343) = 3

We will now calculate the prime factors of 65337 and 65343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65337 and 65343.

How to find the GCF of 65337 and 65343?

We will first find the prime factorization of 65337 and 65343. After we will calculate the factors of 65337 and 65343 and find the biggest common factor number .

Step-1: Prime Factorization of 65337

Prime factors of 65337 are 3, 29, 751. Prime factorization of 65337 in exponential form is:

65337 = 3¹ × 29¹ × 751¹

Step-2: Prime Factorization of 65343

Prime factors of 65343 are 3, 23, 947. Prime factorization of 65343 in exponential form is:

65343 = 3¹ × 23¹ × 947¹

Step-3: Factors of 65337

List of positive integer factors of 65337 that divides 65337 without a remainder.

1, 3, 29, 87, 751, 2253, 21779

Step-4: Factors of 65343

List of positive integer factors of 65343 that divides 65337 without a remainder.

1, 3, 23, 69, 947, 2841, 21781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65337 and 65343. The biggest common factor number is the GCF number.
So the greatest common factor 65337 and 65343 is 3.

Also check out the Least Common Multiple of 65337 and 65343