What is the Greatest Common Factor of 84915 and 84930?

Greatest common factor (GCF) of 84915 and 84930 is 15.

GCF(84915,84930) = 15

We will now calculate the prime factors of 84915 and 84930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84915 and 84930.

How to find the GCF of 84915 and 84930?

We will first find the prime factorization of 84915 and 84930. After we will calculate the factors of 84915 and 84930 and find the biggest common factor number .

Step-1: Prime Factorization of 84915

Prime factors of 84915 are 3, 5, 17, 37. Prime factorization of 84915 in exponential form is:

84915 = 3³ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 84930

Prime factors of 84930 are 2, 3, 5, 19, 149. Prime factorization of 84930 in exponential form is:

84930 = 2¹ × 3¹ × 5¹ × 19¹ × 149¹

Step-3: Factors of 84915

List of positive integer factors of 84915 that divides 84915 without a remainder.

1, 3, 5, 9, 15, 17, 27, 37, 45, 51, 85, 111, 135, 153, 185, 255, 333, 459, 555, 629, 765, 999, 1665, 1887, 2295, 3145, 4995, 5661, 9435, 16983, 28305

Step-4: Factors of 84930

List of positive integer factors of 84930 that divides 84915 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 149, 190, 285, 298, 447, 570, 745, 894, 1490, 2235, 2831, 4470, 5662, 8493, 14155, 16986, 28310, 42465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84915 and 84930. The biggest common factor number is the GCF number.
So the greatest common factor 84915 and 84930 is 15.

Also check out the Least Common Multiple of 84915 and 84930