What is the Greatest Common Factor of 42306 and 42315?

Greatest common factor (GCF) of 42306 and 42315 is 3.

GCF(42306,42315) = 3

We will now calculate the prime factors of 42306 and 42315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42306 and 42315.

How to find the GCF of 42306 and 42315?

We will first find the prime factorization of 42306 and 42315. After we will calculate the factors of 42306 and 42315 and find the biggest common factor number .

Step-1: Prime Factorization of 42306

Prime factors of 42306 are 2, 3, 11, 641. Prime factorization of 42306 in exponential form is:

42306 = 2¹ × 3¹ × 11¹ × 641¹

Step-2: 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-3: Factors of 42306

List of positive integer factors of 42306 that divides 42306 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 641, 1282, 1923, 3846, 7051, 14102, 21153

Step-4: Factors of 42315

List of positive integer factors of 42315 that divides 42306 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42306 and 42315. The biggest common factor number is the GCF number.
So the greatest common factor 42306 and 42315 is 3.

Also check out the Least Common Multiple of 42306 and 42315