What is the Greatest Common Factor of 24198 and 24208?

Greatest common factor (GCF) of 24198 and 24208 is 2.

GCF(24198,24208) = 2

We will now calculate the prime factors of 24198 and 24208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24198 and 24208.

How to find the GCF of 24198 and 24208?

We will first find the prime factorization of 24198 and 24208. After we will calculate the factors of 24198 and 24208 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 24208

Prime factors of 24208 are 2, 17, 89. Prime factorization of 24208 in exponential form is:

24208 = 2⁴ × 17¹ × 89¹

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 24208

List of positive integer factors of 24208 that divides 24198 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 89, 136, 178, 272, 356, 712, 1424, 1513, 3026, 6052, 12104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24198 and 24208. The biggest common factor number is the GCF number.
So the greatest common factor 24198 and 24208 is 2.

Also check out the Least Common Multiple of 24198 and 24208