What is the Greatest Common Factor of 62337 and 62343?

Greatest common factor (GCF) of 62337 and 62343 is 3.

GCF(62337,62343) = 3

We will now calculate the prime factors of 62337 and 62343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62337 and 62343.

How to find the GCF of 62337 and 62343?

We will first find the prime factorization of 62337 and 62343. After we will calculate the factors of 62337 and 62343 and find the biggest common factor number .

Step-1: Prime Factorization of 62337

Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:

62337 = 3¹ × 11¹ × 1889¹

Step-2: Prime Factorization of 62343

Prime factors of 62343 are 3, 2309. Prime factorization of 62343 in exponential form is:

62343 = 3³ × 2309¹

Step-3: Factors of 62337

List of positive integer factors of 62337 that divides 62337 without a remainder.

1, 3, 11, 33, 1889, 5667, 20779

Step-4: Factors of 62343

List of positive integer factors of 62343 that divides 62337 without a remainder.

1, 3, 9, 27, 2309, 6927, 20781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62337 and 62343. The biggest common factor number is the GCF number.
So the greatest common factor 62337 and 62343 is 3.

Also check out the Least Common Multiple of 62337 and 62343