What is the Greatest Common Factor of 24838 and 24842?

Greatest common factor (GCF) of 24838 and 24842 is 2.

GCF(24838,24842) = 2

We will now calculate the prime factors of 24838 and 24842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24838 and 24842.

How to find the GCF of 24838 and 24842?

We will first find the prime factorization of 24838 and 24842. After we will calculate the factors of 24838 and 24842 and find the biggest common factor number .

Step-1: Prime Factorization of 24838

Prime factors of 24838 are 2, 11, 1129. Prime factorization of 24838 in exponential form is:

24838 = 2¹ × 11¹ × 1129¹

Step-2: Prime Factorization of 24842

Prime factors of 24842 are 2, 12421. Prime factorization of 24842 in exponential form is:

24842 = 2¹ × 12421¹

Step-3: Factors of 24838

List of positive integer factors of 24838 that divides 24838 without a remainder.

1, 2, 11, 22, 1129, 2258, 12419

Step-4: Factors of 24842

List of positive integer factors of 24842 that divides 24838 without a remainder.

1, 2, 12421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24838 and 24842. The biggest common factor number is the GCF number.
So the greatest common factor 24838 and 24842 is 2.

Also check out the Least Common Multiple of 24838 and 24842