What is the Greatest Common Factor of 84270 and 84285?

Greatest common factor (GCF) of 84270 and 84285 is 15.

GCF(84270,84285) = 15

We will now calculate the prime factors of 84270 and 84285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84270 and 84285.

How to find the GCF of 84270 and 84285?

We will first find the prime factorization of 84270 and 84285. After we will calculate the factors of 84270 and 84285 and find the biggest common factor number .

Step-1: Prime Factorization of 84270

Prime factors of 84270 are 2, 3, 5, 53. Prime factorization of 84270 in exponential form is:

84270 = 2¹ × 3¹ × 5¹ × 53²

Step-2: Prime Factorization of 84285

Prime factors of 84285 are 3, 5, 1873. Prime factorization of 84285 in exponential form is:

84285 = 3² × 5¹ × 1873¹

Step-3: Factors of 84270

List of positive integer factors of 84270 that divides 84270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590, 2809, 5618, 8427, 14045, 16854, 28090, 42135

Step-4: Factors of 84285

List of positive integer factors of 84285 that divides 84270 without a remainder.

1, 3, 5, 9, 15, 45, 1873, 5619, 9365, 16857, 28095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84270 and 84285. The biggest common factor number is the GCF number.
So the greatest common factor 84270 and 84285 is 15.

Also check out the Least Common Multiple of 84270 and 84285