What is the Greatest Common Factor of 24986 and 24998?

Greatest common factor (GCF) of 24986 and 24998 is 2.

GCF(24986,24998) = 2

We will now calculate the prime factors of 24986 and 24998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24986 and 24998.

How to find the GCF of 24986 and 24998?

We will first find the prime factorization of 24986 and 24998. After we will calculate the factors of 24986 and 24998 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 24998

Prime factors of 24998 are 2, 29, 431. Prime factorization of 24998 in exponential form is:

24998 = 2¹ × 29¹ × 431¹

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 24998

List of positive integer factors of 24998 that divides 24986 without a remainder.

1, 2, 29, 58, 431, 862, 12499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24986 and 24998. The biggest common factor number is the GCF number.
So the greatest common factor 24986 and 24998 is 2.

Also check out the Least Common Multiple of 24986 and 24998