What is the Greatest Common Factor of 24682 and 24692?

Greatest common factor (GCF) of 24682 and 24692 is 2.

GCF(24682,24692) = 2

We will now calculate the prime factors of 24682 and 24692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24682 and 24692.

How to find the GCF of 24682 and 24692?

We will first find the prime factorization of 24682 and 24692. After we will calculate the factors of 24682 and 24692 and find the biggest common factor number .

Step-1: Prime Factorization of 24682

Prime factors of 24682 are 2, 7, 41, 43. Prime factorization of 24682 in exponential form is:

24682 = 2¹ × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 24692

Prime factors of 24692 are 2, 6173. Prime factorization of 24692 in exponential form is:

24692 = 2² × 6173¹

Step-3: Factors of 24682

List of positive integer factors of 24682 that divides 24682 without a remainder.

1, 2, 7, 14, 41, 43, 82, 86, 287, 301, 574, 602, 1763, 3526, 12341

Step-4: Factors of 24692

List of positive integer factors of 24692 that divides 24682 without a remainder.

1, 2, 4, 6173, 12346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24682 and 24692. The biggest common factor number is the GCF number.
So the greatest common factor 24682 and 24692 is 2.

Also check out the Least Common Multiple of 24682 and 24692