What is the Greatest Common Factor of 24830 and 24848?

Greatest common factor (GCF) of 24830 and 24848 is 2.

GCF(24830,24848) = 2

We will now calculate the prime factors of 24830 and 24848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24830 and 24848.

How to find the GCF of 24830 and 24848?

We will first find the prime factorization of 24830 and 24848. After we will calculate the factors of 24830 and 24848 and find the biggest common factor number .

Step-1: Prime Factorization of 24830

Prime factors of 24830 are 2, 5, 13, 191. Prime factorization of 24830 in exponential form is:

24830 = 2¹ × 5¹ × 13¹ × 191¹

Step-2: Prime Factorization of 24848

Prime factors of 24848 are 2, 1553. Prime factorization of 24848 in exponential form is:

24848 = 2⁴ × 1553¹

Step-3: Factors of 24830

List of positive integer factors of 24830 that divides 24830 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 191, 382, 955, 1910, 2483, 4966, 12415

Step-4: Factors of 24848

List of positive integer factors of 24848 that divides 24830 without a remainder.

1, 2, 4, 8, 16, 1553, 3106, 6212, 12424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24830 and 24848. The biggest common factor number is the GCF number.
So the greatest common factor 24830 and 24848 is 2.

Also check out the Least Common Multiple of 24830 and 24848