What is the Greatest Common Factor of 63085 and 63099?

Greatest common factor (GCF) of 63085 and 63099 is 1.

GCF(63085,63099) = 1

We will now calculate the prime factors of 63085 and 63099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63085 and 63099.

How to find the GCF of 63085 and 63099?

We will first find the prime factorization of 63085 and 63099. After we will calculate the factors of 63085 and 63099 and find the biggest common factor number .

Step-1: Prime Factorization of 63085

Prime factors of 63085 are 5, 11, 31, 37. Prime factorization of 63085 in exponential form is:

63085 = 5¹ × 11¹ × 31¹ × 37¹

Step-2: Prime Factorization of 63099

Prime factors of 63099 are 3, 19, 41. Prime factorization of 63099 in exponential form is:

63099 = 3⁴ × 19¹ × 41¹

Step-3: Factors of 63085

List of positive integer factors of 63085 that divides 63085 without a remainder.

1, 5, 11, 31, 37, 55, 155, 185, 341, 407, 1147, 1705, 2035, 5735, 12617

Step-4: Factors of 63099

List of positive integer factors of 63099 that divides 63085 without a remainder.

1, 3, 9, 19, 27, 41, 57, 81, 123, 171, 369, 513, 779, 1107, 1539, 2337, 3321, 7011, 21033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63085 and 63099. The biggest common factor number is the GCF number.
So the greatest common factor 63085 and 63099 is 1.

Also check out the Least Common Multiple of 63085 and 63099