What is the Greatest Common Factor of 42270 and 42285?

Greatest common factor (GCF) of 42270 and 42285 is 15.

GCF(42270,42285) = 15

We will now calculate the prime factors of 42270 and 42285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42270 and 42285.

How to find the GCF of 42270 and 42285?

We will first find the prime factorization of 42270 and 42285. After we will calculate the factors of 42270 and 42285 and find the biggest common factor number .

Step-1: Prime Factorization of 42270

Prime factors of 42270 are 2, 3, 5, 1409. Prime factorization of 42270 in exponential form is:

42270 = 2¹ × 3¹ × 5¹ × 1409¹

Step-2: Prime Factorization of 42285

Prime factors of 42285 are 3, 5, 2819. Prime factorization of 42285 in exponential form is:

42285 = 3¹ × 5¹ × 2819¹

Step-3: Factors of 42270

List of positive integer factors of 42270 that divides 42270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1409, 2818, 4227, 7045, 8454, 14090, 21135

Step-4: Factors of 42285

List of positive integer factors of 42285 that divides 42270 without a remainder.

1, 3, 5, 15, 2819, 8457, 14095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42270 and 42285. The biggest common factor number is the GCF number.
So the greatest common factor 42270 and 42285 is 15.

Also check out the Least Common Multiple of 42270 and 42285