What is the Greatest Common Factor of 65343 and 65362?

Greatest common factor (GCF) of 65343 and 65362 is 1.

GCF(65343,65362) = 1

We will now calculate the prime factors of 65343 and 65362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65343 and 65362.

How to find the GCF of 65343 and 65362?

We will first find the prime factorization of 65343 and 65362. After we will calculate the factors of 65343 and 65362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65362

Prime factors of 65362 are 2, 11, 2971. Prime factorization of 65362 in exponential form is:

65362 = 2¹ × 11¹ × 2971¹

Step-3: Factors of 65343

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

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

Step-4: Factors of 65362

List of positive integer factors of 65362 that divides 65343 without a remainder.

1, 2, 11, 22, 2971, 5942, 32681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65343 and 65362. The biggest common factor number is the GCF number.
So the greatest common factor 65343 and 65362 is 1.

Also check out the Least Common Multiple of 65343 and 65362