What is the Greatest Common Factor of 42302 and 42315?

Greatest common factor (GCF) of 42302 and 42315 is 13.

GCF(42302,42315) = 13

We will now calculate the prime factors of 42302 and 42315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42302 and 42315.

How to find the GCF of 42302 and 42315?

We will first find the prime factorization of 42302 and 42315. After we will calculate the factors of 42302 and 42315 and find the biggest common factor number .

Step-1: Prime Factorization of 42302

Prime factors of 42302 are 2, 13, 1627. Prime factorization of 42302 in exponential form is:

42302 = 2¹ × 13¹ × 1627¹

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 42302

List of positive integer factors of 42302 that divides 42302 without a remainder.

1, 2, 13, 26, 1627, 3254, 21151

Step-4: Factors of 42315

List of positive integer factors of 42315 that divides 42302 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 42302 and 42315. The biggest common factor number is the GCF number.
So the greatest common factor 42302 and 42315 is 13.

Also check out the Least Common Multiple of 42302 and 42315