What is the Greatest Common Factor of 62331 and 62340?

Greatest common factor (GCF) of 62331 and 62340 is 3.

GCF(62331,62340) = 3

We will now calculate the prime factors of 62331 and 62340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62331 and 62340.

How to find the GCF of 62331 and 62340?

We will first find the prime factorization of 62331 and 62340. After we will calculate the factors of 62331 and 62340 and find the biggest common factor number .

Step-1: Prime Factorization of 62331

Prime factors of 62331 are 3, 79, 263. Prime factorization of 62331 in exponential form is:

62331 = 3¹ × 79¹ × 263¹

Step-2: Prime Factorization of 62340

Prime factors of 62340 are 2, 3, 5, 1039. Prime factorization of 62340 in exponential form is:

62340 = 2² × 3¹ × 5¹ × 1039¹

Step-3: Factors of 62331

List of positive integer factors of 62331 that divides 62331 without a remainder.

1, 3, 79, 237, 263, 789, 20777

Step-4: Factors of 62340

List of positive integer factors of 62340 that divides 62331 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1039, 2078, 3117, 4156, 5195, 6234, 10390, 12468, 15585, 20780, 31170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62331 and 62340. The biggest common factor number is the GCF number.
So the greatest common factor 62331 and 62340 is 3.

Also check out the Least Common Multiple of 62331 and 62340