What is the Greatest Common Factor of 42330 and 42339?

Greatest common factor (GCF) of 42330 and 42339 is 3.

GCF(42330,42339) = 3

We will now calculate the prime factors of 42330 and 42339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42330 and 42339.

How to find the GCF of 42330 and 42339?

We will first find the prime factorization of 42330 and 42339. After we will calculate the factors of 42330 and 42339 and find the biggest common factor number .

Step-1: Prime Factorization of 42330

Prime factors of 42330 are 2, 3, 5, 17, 83. Prime factorization of 42330 in exponential form is:

42330 = 2¹ × 3¹ × 5¹ × 17¹ × 83¹

Step-2: Prime Factorization of 42339

Prime factors of 42339 are 3, 11, 1283. Prime factorization of 42339 in exponential form is:

42339 = 3¹ × 11¹ × 1283¹

Step-3: Factors of 42330

List of positive integer factors of 42330 that divides 42330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 83, 85, 102, 166, 170, 249, 255, 415, 498, 510, 830, 1245, 1411, 2490, 2822, 4233, 7055, 8466, 14110, 21165

Step-4: Factors of 42339

List of positive integer factors of 42339 that divides 42330 without a remainder.

1, 3, 11, 33, 1283, 3849, 14113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42330 and 42339. The biggest common factor number is the GCF number.
So the greatest common factor 42330 and 42339 is 3.

Also check out the Least Common Multiple of 42330 and 42339