What is the Greatest Common Factor of 42315 and 42322?

Greatest common factor (GCF) of 42315 and 42322 is 7.

GCF(42315,42322) = 7

We will now calculate the prime factors of 42315 and 42322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42315 and 42322.

How to find the GCF of 42315 and 42322?

We will first find the prime factorization of 42315 and 42322. After we will calculate the factors of 42315 and 42322 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 42322

Prime factors of 42322 are 2, 7, 3023. Prime factorization of 42322 in exponential form is:

42322 = 2¹ × 7¹ × 3023¹

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 42322

List of positive integer factors of 42322 that divides 42315 without a remainder.

1, 2, 7, 14, 3023, 6046, 21161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42315 and 42322. The biggest common factor number is the GCF number.
So the greatest common factor 42315 and 42322 is 7.

Also check out the Least Common Multiple of 42315 and 42322