What is the Greatest Common Factor of 24124 and 24134?

Greatest common factor (GCF) of 24124 and 24134 is 2.

GCF(24124,24134) = 2

We will now calculate the prime factors of 24124 and 24134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24124 and 24134.

How to find the GCF of 24124 and 24134?

We will first find the prime factorization of 24124 and 24134. After we will calculate the factors of 24124 and 24134 and find the biggest common factor number .

Step-1: Prime Factorization of 24124

Prime factors of 24124 are 2, 37, 163. Prime factorization of 24124 in exponential form is:

24124 = 2² × 37¹ × 163¹

Step-2: Prime Factorization of 24134

Prime factors of 24134 are 2, 11, 1097. Prime factorization of 24134 in exponential form is:

24134 = 2¹ × 11¹ × 1097¹

Step-3: Factors of 24124

List of positive integer factors of 24124 that divides 24124 without a remainder.

1, 2, 4, 37, 74, 148, 163, 326, 652, 6031, 12062

Step-4: Factors of 24134

List of positive integer factors of 24134 that divides 24124 without a remainder.

1, 2, 11, 22, 1097, 2194, 12067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24124 and 24134. The biggest common factor number is the GCF number.
So the greatest common factor 24124 and 24134 is 2.

Also check out the Least Common Multiple of 24124 and 24134