What is the Greatest Common Factor of 24126 and 24134?

Greatest common factor (GCF) of 24126 and 24134 is 2.

GCF(24126,24134) = 2

We will now calculate the prime factors of 24126 and 24134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24126 and 24134.

How to find the GCF of 24126 and 24134?

We will first find the prime factorization of 24126 and 24134. After we will calculate the factors of 24126 and 24134 and find the biggest common factor number .

Step-1: Prime Factorization of 24126

Prime factors of 24126 are 2, 3, 4021. Prime factorization of 24126 in exponential form is:

24126 = 2¹ × 3¹ × 4021¹

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 24126

List of positive integer factors of 24126 that divides 24126 without a remainder.

1, 2, 3, 6, 4021, 8042, 12063

Step-4: Factors of 24134

List of positive integer factors of 24134 that divides 24126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24126 and 24134. The biggest common factor number is the GCF number.
So the greatest common factor 24126 and 24134 is 2.

Also check out the Least Common Multiple of 24126 and 24134