What is the Greatest Common Factor of 62307 and 62323?

Greatest common factor (GCF) of 62307 and 62323 is 1.

GCF(62307,62323) = 1

We will now calculate the prime factors of 62307 and 62323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62307 and 62323.

How to find the GCF of 62307 and 62323?

We will first find the prime factorization of 62307 and 62323. After we will calculate the factors of 62307 and 62323 and find the biggest common factor number .

Step-1: Prime Factorization of 62307

Prime factors of 62307 are 3, 7, 23, 43. Prime factorization of 62307 in exponential form is:

62307 = 3² × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 62323

Prime factors of 62323 are 62323. Prime factorization of 62323 in exponential form is:

62323 = 62323¹

Step-3: Factors of 62307

List of positive integer factors of 62307 that divides 62307 without a remainder.

1, 3, 7, 9, 21, 23, 43, 63, 69, 129, 161, 207, 301, 387, 483, 903, 989, 1449, 2709, 2967, 6923, 8901, 20769

Step-4: Factors of 62323

List of positive integer factors of 62323 that divides 62307 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62307 and 62323. The biggest common factor number is the GCF number.
So the greatest common factor 62307 and 62323 is 1.

Also check out the Least Common Multiple of 62307 and 62323