What is the Greatest Common Factor of 24682 and 24689?

Greatest common factor (GCF) of 24682 and 24689 is 7.

GCF(24682,24689) = 7

We will now calculate the prime factors of 24682 and 24689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24682 and 24689.

How to find the GCF of 24682 and 24689?

We will first find the prime factorization of 24682 and 24689. After we will calculate the factors of 24682 and 24689 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 24689

Prime factors of 24689 are 7, 3527. Prime factorization of 24689 in exponential form is:

24689 = 7¹ × 3527¹

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 24689

List of positive integer factors of 24689 that divides 24682 without a remainder.

1, 7, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24682 and 24689. The biggest common factor number is the GCF number.
So the greatest common factor 24682 and 24689 is 7.

Also check out the Least Common Multiple of 24682 and 24689