What is the Greatest Common Factor of 63099 and 63118?

Greatest common factor (GCF) of 63099 and 63118 is 19.

GCF(63099,63118) = 19

We will now calculate the prime factors of 63099 and 63118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63099 and 63118.

How to find the GCF of 63099 and 63118?

We will first find the prime factorization of 63099 and 63118. After we will calculate the factors of 63099 and 63118 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 63118

Prime factors of 63118 are 2, 11, 19, 151. Prime factorization of 63118 in exponential form is:

63118 = 2¹ × 11¹ × 19¹ × 151¹

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 63118

List of positive integer factors of 63118 that divides 63099 without a remainder.

1, 2, 11, 19, 22, 38, 151, 209, 302, 418, 1661, 2869, 3322, 5738, 31559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63099 and 63118. The biggest common factor number is the GCF number.
So the greatest common factor 63099 and 63118 is 19.

Also check out the Least Common Multiple of 63099 and 63118