What is the Greatest Common Factor of 42315 and 42330?

Greatest common factor (GCF) of 42315 and 42330 is 15.

GCF(42315,42330) = 15

We will now calculate the prime factors of 42315 and 42330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42315 and 42330.

How to find the GCF of 42315 and 42330?

We will first find the prime factorization of 42315 and 42330. After we will calculate the factors of 42315 and 42330 and find the biggest common factor number .

Step-1: Prime Factorization of 42315

Prime factors of 42315 are 3, 5, 7, 13, 31. Prime factorization of 42315 in exponential form is:

42315 = 3¹ × 5¹ × 7¹ × 13¹ × 31¹

Step-2: 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-3: Factors of 42315

List of positive integer factors of 42315 that divides 42315 without a remainder.

1, 3, 5, 7, 13, 15, 21, 31, 35, 39, 65, 91, 93, 105, 155, 195, 217, 273, 403, 455, 465, 651, 1085, 1209, 1365, 2015, 2821, 3255, 6045, 8463, 14105

Step-4: Factors of 42330

List of positive integer factors of 42330 that divides 42315 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42315 and 42330. The biggest common factor number is the GCF number.
So the greatest common factor 42315 and 42330 is 15.

Also check out the Least Common Multiple of 42315 and 42330