What is the Greatest Common Factor of 24068 and 24082?

Greatest common factor (GCF) of 24068 and 24082 is 2.

GCF(24068,24082) = 2

We will now calculate the prime factors of 24068 and 24082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24068 and 24082.

How to find the GCF of 24068 and 24082?

We will first find the prime factorization of 24068 and 24082. After we will calculate the factors of 24068 and 24082 and find the biggest common factor number .

Step-1: Prime Factorization of 24068

Prime factors of 24068 are 2, 11, 547. Prime factorization of 24068 in exponential form is:

24068 = 2² × 11¹ × 547¹

Step-2: Prime Factorization of 24082

Prime factors of 24082 are 2, 12041. Prime factorization of 24082 in exponential form is:

24082 = 2¹ × 12041¹

Step-3: Factors of 24068

List of positive integer factors of 24068 that divides 24068 without a remainder.

1, 2, 4, 11, 22, 44, 547, 1094, 2188, 6017, 12034

Step-4: Factors of 24082

List of positive integer factors of 24082 that divides 24068 without a remainder.

1, 2, 12041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24068 and 24082. The biggest common factor number is the GCF number.
So the greatest common factor 24068 and 24082 is 2.

Also check out the Least Common Multiple of 24068 and 24082