What is the Greatest Common Factor of 24842 and 24856?

Greatest common factor (GCF) of 24842 and 24856 is 2.

GCF(24842,24856) = 2

We will now calculate the prime factors of 24842 and 24856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24842 and 24856.

How to find the GCF of 24842 and 24856?

We will first find the prime factorization of 24842 and 24856. After we will calculate the factors of 24842 and 24856 and find the biggest common factor number .

Step-1: Prime Factorization of 24842

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

24842 = 2¹ × 12421¹

Step-2: Prime Factorization of 24856

Prime factors of 24856 are 2, 13, 239. Prime factorization of 24856 in exponential form is:

24856 = 2³ × 13¹ × 239¹

Step-3: Factors of 24842

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

1, 2, 12421

Step-4: Factors of 24856

List of positive integer factors of 24856 that divides 24842 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 239, 478, 956, 1912, 3107, 6214, 12428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24842 and 24856. The biggest common factor number is the GCF number.
So the greatest common factor 24842 and 24856 is 2.

Also check out the Least Common Multiple of 24842 and 24856