What is the Greatest Common Factor of 99195 and 99210?

Greatest common factor (GCF) of 99195 and 99210 is 15.

GCF(99195,99210) = 15

We will now calculate the prime factors of 99195 and 99210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99195 and 99210.

How to find the GCF of 99195 and 99210?

We will first find the prime factorization of 99195 and 99210. After we will calculate the factors of 99195 and 99210 and find the biggest common factor number .

Step-1: Prime Factorization of 99195

Prime factors of 99195 are 3, 5, 17, 389. Prime factorization of 99195 in exponential form is:

99195 = 3¹ × 5¹ × 17¹ × 389¹

Step-2: Prime Factorization of 99210

Prime factors of 99210 are 2, 3, 5, 3307. Prime factorization of 99210 in exponential form is:

99210 = 2¹ × 3¹ × 5¹ × 3307¹

Step-3: Factors of 99195

List of positive integer factors of 99195 that divides 99195 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 389, 1167, 1945, 5835, 6613, 19839, 33065

Step-4: Factors of 99210

List of positive integer factors of 99210 that divides 99195 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3307, 6614, 9921, 16535, 19842, 33070, 49605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99195 and 99210. The biggest common factor number is the GCF number.
So the greatest common factor 99195 and 99210 is 15.

Also check out the Least Common Multiple of 99195 and 99210