What is the Greatest Common Factor of 24986 and 24999?

Greatest common factor (GCF) of 24986 and 24999 is 13.

GCF(24986,24999) = 13

We will now calculate the prime factors of 24986 and 24999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24986 and 24999.

How to find the GCF of 24986 and 24999?

We will first find the prime factorization of 24986 and 24999. After we will calculate the factors of 24986 and 24999 and find the biggest common factor number .

Step-1: Prime Factorization of 24986

Prime factors of 24986 are 2, 13, 31. Prime factorization of 24986 in exponential form is:

24986 = 2¹ × 13¹ × 31²

Step-2: Prime Factorization of 24999

Prime factors of 24999 are 3, 13, 641. Prime factorization of 24999 in exponential form is:

24999 = 3¹ × 13¹ × 641¹

Step-3: Factors of 24986

List of positive integer factors of 24986 that divides 24986 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806, 961, 1922, 12493

Step-4: Factors of 24999

List of positive integer factors of 24999 that divides 24986 without a remainder.

1, 3, 13, 39, 641, 1923, 8333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24986 and 24999. The biggest common factor number is the GCF number.
So the greatest common factor 24986 and 24999 is 13.

Also check out the Least Common Multiple of 24986 and 24999