What is the Greatest Common Factor of 24158 and 24176?

Greatest common factor (GCF) of 24158 and 24176 is 2.

GCF(24158,24176) = 2

We will now calculate the prime factors of 24158 and 24176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24158 and 24176.

How to find the GCF of 24158 and 24176?

We will first find the prime factorization of 24158 and 24176. After we will calculate the factors of 24158 and 24176 and find the biggest common factor number .

Step-1: Prime Factorization of 24158

Prime factors of 24158 are 2, 47, 257. Prime factorization of 24158 in exponential form is:

24158 = 2¹ × 47¹ × 257¹

Step-2: Prime Factorization of 24176

Prime factors of 24176 are 2, 1511. Prime factorization of 24176 in exponential form is:

24176 = 2⁴ × 1511¹

Step-3: Factors of 24158

List of positive integer factors of 24158 that divides 24158 without a remainder.

1, 2, 47, 94, 257, 514, 12079

Step-4: Factors of 24176

List of positive integer factors of 24176 that divides 24158 without a remainder.

1, 2, 4, 8, 16, 1511, 3022, 6044, 12088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24158 and 24176. The biggest common factor number is the GCF number.
So the greatest common factor 24158 and 24176 is 2.

Also check out the Least Common Multiple of 24158 and 24176