What is the Greatest Common Factor of 24840 and 24848?

Greatest common factor (GCF) of 24840 and 24848 is 8.

GCF(24840,24848) = 8

We will now calculate the prime factors of 24840 and 24848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24840 and 24848.

How to find the GCF of 24840 and 24848?

We will first find the prime factorization of 24840 and 24848. After we will calculate the factors of 24840 and 24848 and find the biggest common factor number .

Step-1: Prime Factorization of 24840

Prime factors of 24840 are 2, 3, 5, 23. Prime factorization of 24840 in exponential form is:

24840 = 2³ × 3³ × 5¹ × 23¹

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 24840

List of positive integer factors of 24840 that divides 24840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 54, 60, 69, 72, 90, 92, 108, 115, 120, 135, 138, 180, 184, 207, 216, 230, 270, 276, 345, 360, 414, 460, 540, 552, 621, 690, 828, 920, 1035, 1080, 1242, 1380, 1656, 2070, 2484, 2760, 3105, 4140, 4968, 6210, 8280, 12420

Step-4: Factors of 24848

List of positive integer factors of 24848 that divides 24840 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 24840 and 24848. The biggest common factor number is the GCF number.
So the greatest common factor 24840 and 24848 is 8.

Also check out the Least Common Multiple of 24840 and 24848