What is the Greatest Common Factor of 24178 and 24190?

Greatest common factor (GCF) of 24178 and 24190 is 2.

GCF(24178,24190) = 2

We will now calculate the prime factors of 24178 and 24190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24178 and 24190.

How to find the GCF of 24178 and 24190?

We will first find the prime factorization of 24178 and 24190. After we will calculate the factors of 24178 and 24190 and find the biggest common factor number .

Step-1: Prime Factorization of 24178

Prime factors of 24178 are 2, 7, 11, 157. Prime factorization of 24178 in exponential form is:

24178 = 2¹ × 7¹ × 11¹ × 157¹

Step-2: Prime Factorization of 24190

Prime factors of 24190 are 2, 5, 41, 59. Prime factorization of 24190 in exponential form is:

24190 = 2¹ × 5¹ × 41¹ × 59¹

Step-3: Factors of 24178

List of positive integer factors of 24178 that divides 24178 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 157, 314, 1099, 1727, 2198, 3454, 12089

Step-4: Factors of 24190

List of positive integer factors of 24190 that divides 24178 without a remainder.

1, 2, 5, 10, 41, 59, 82, 118, 205, 295, 410, 590, 2419, 4838, 12095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24178 and 24190. The biggest common factor number is the GCF number.
So the greatest common factor 24178 and 24190 is 2.

Also check out the Least Common Multiple of 24178 and 24190