What is the Greatest Common Factor of 63099 and 63115?

Greatest common factor (GCF) of 63099 and 63115 is 1.

GCF(63099,63115) = 1

We will now calculate the prime factors of 63099 and 63115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63099 and 63115.

How to find the GCF of 63099 and 63115?

We will first find the prime factorization of 63099 and 63115. After we will calculate the factors of 63099 and 63115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63115

Prime factors of 63115 are 5, 13, 971. Prime factorization of 63115 in exponential form is:

63115 = 5¹ × 13¹ × 971¹

Step-3: Factors of 63099

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

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

Step-4: Factors of 63115

List of positive integer factors of 63115 that divides 63099 without a remainder.

1, 5, 13, 65, 971, 4855, 12623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63099 and 63115. The biggest common factor number is the GCF number.
So the greatest common factor 63099 and 63115 is 1.

Also check out the Least Common Multiple of 63099 and 63115