What is the Greatest Common Factor of 24787 and 24794?

Greatest common factor (GCF) of 24787 and 24794 is 7.

GCF(24787,24794) = 7

We will now calculate the prime factors of 24787 and 24794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24787 and 24794.

How to find the GCF of 24787 and 24794?

We will first find the prime factorization of 24787 and 24794. After we will calculate the factors of 24787 and 24794 and find the biggest common factor number .

Step-1: Prime Factorization of 24787

Prime factors of 24787 are 7, 3541. Prime factorization of 24787 in exponential form is:

24787 = 7¹ × 3541¹

Step-2: Prime Factorization of 24794

Prime factors of 24794 are 2, 7, 11, 23. Prime factorization of 24794 in exponential form is:

24794 = 2¹ × 7² × 11¹ × 23¹

Step-3: Factors of 24787

List of positive integer factors of 24787 that divides 24787 without a remainder.

1, 7, 3541

Step-4: Factors of 24794

List of positive integer factors of 24794 that divides 24787 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 49, 77, 98, 154, 161, 253, 322, 506, 539, 1078, 1127, 1771, 2254, 3542, 12397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24787 and 24794. The biggest common factor number is the GCF number.
So the greatest common factor 24787 and 24794 is 7.

Also check out the Least Common Multiple of 24787 and 24794