What is the Greatest Common Factor of 62307 and 62319?

Greatest common factor (GCF) of 62307 and 62319 is 3.

GCF(62307,62319) = 3

We will now calculate the prime factors of 62307 and 62319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62307 and 62319.

How to find the GCF of 62307 and 62319?

We will first find the prime factorization of 62307 and 62319. After we will calculate the factors of 62307 and 62319 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 62319

Prime factors of 62319 are 3, 20773. Prime factorization of 62319 in exponential form is:

62319 = 3¹ × 20773¹

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 62319

List of positive integer factors of 62319 that divides 62307 without a remainder.

1, 3, 20773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62307 and 62319. The biggest common factor number is the GCF number.
So the greatest common factor 62307 and 62319 is 3.

Also check out the Least Common Multiple of 62307 and 62319