What is the Greatest Common Factor of 24178 and 24182?

Greatest common factor (GCF) of 24178 and 24182 is 2.

GCF(24178,24182) = 2

We will now calculate the prime factors of 24178 and 24182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24178 and 24182.

How to find the GCF of 24178 and 24182?

We will first find the prime factorization of 24178 and 24182. After we will calculate the factors of 24178 and 24182 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 24182

Prime factors of 24182 are 2, 107, 113. Prime factorization of 24182 in exponential form is:

24182 = 2¹ × 107¹ × 113¹

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 24182

List of positive integer factors of 24182 that divides 24178 without a remainder.

1, 2, 107, 113, 214, 226, 12091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24178 and 24182. The biggest common factor number is the GCF number.
So the greatest common factor 24178 and 24182 is 2.

Also check out the Least Common Multiple of 24178 and 24182