What is the Greatest Common Factor of 24198 and 24207?

Greatest common factor (GCF) of 24198 and 24207 is 3.

GCF(24198,24207) = 3

We will now calculate the prime factors of 24198 and 24207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24198 and 24207.

How to find the GCF of 24198 and 24207?

We will first find the prime factorization of 24198 and 24207. After we will calculate the factors of 24198 and 24207 and find the biggest common factor number .

Step-1: Prime Factorization of 24198

Prime factors of 24198 are 2, 3, 37, 109. Prime factorization of 24198 in exponential form is:

24198 = 2¹ × 3¹ × 37¹ × 109¹

Step-2: Prime Factorization of 24207

Prime factors of 24207 are 3, 8069. Prime factorization of 24207 in exponential form is:

24207 = 3¹ × 8069¹

Step-3: Factors of 24198

List of positive integer factors of 24198 that divides 24198 without a remainder.

1, 2, 3, 6, 37, 74, 109, 111, 218, 222, 327, 654, 4033, 8066, 12099

Step-4: Factors of 24207

List of positive integer factors of 24207 that divides 24198 without a remainder.

1, 3, 8069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24198 and 24207. The biggest common factor number is the GCF number.
So the greatest common factor 24198 and 24207 is 3.

Also check out the Least Common Multiple of 24198 and 24207