What is the Greatest Common Factor of 6099 and 6118?

Greatest common factor (GCF) of 6099 and 6118 is 19.

GCF(6099,6118) = 19

We will now calculate the prime factors of 6099 and 6118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6099 and 6118.

How to find the GCF of 6099 and 6118?

We will first find the prime factorization of 6099 and 6118. After we will calculate the factors of 6099 and 6118 and find the biggest common factor number .

Step-1: Prime Factorization of 6099

Prime factors of 6099 are 3, 19, 107. Prime factorization of 6099 in exponential form is:

6099 = 3¹ × 19¹ × 107¹

Step-2: Prime Factorization of 6118

Prime factors of 6118 are 2, 7, 19, 23. Prime factorization of 6118 in exponential form is:

6118 = 2¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 6099

List of positive integer factors of 6099 that divides 6099 without a remainder.

1, 3, 19, 57, 107, 321, 2033

Step-4: Factors of 6118

List of positive integer factors of 6118 that divides 6099 without a remainder.

1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6099 and 6118. The biggest common factor number is the GCF number.
So the greatest common factor 6099 and 6118 is 19.

Also check out the Least Common Multiple of 6099 and 6118