What is the Greatest Common Factor of 42315 and 42324?

Greatest common factor (GCF) of 42315 and 42324 is 3.

GCF(42315,42324) = 3

We will now calculate the prime factors of 42315 and 42324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42315 and 42324.

How to find the GCF of 42315 and 42324?

We will first find the prime factorization of 42315 and 42324. After we will calculate the factors of 42315 and 42324 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 42324

Prime factors of 42324 are 2, 3, 3527. Prime factorization of 42324 in exponential form is:

42324 = 2² × 3¹ × 3527¹

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 42324

List of positive integer factors of 42324 that divides 42315 without a remainder.

1, 2, 3, 4, 6, 12, 3527, 7054, 10581, 14108, 21162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42315 and 42324. The biggest common factor number is the GCF number.
So the greatest common factor 42315 and 42324 is 3.

Also check out the Least Common Multiple of 42315 and 42324