What is the Greatest Common Factor of 24840 and 24855?

Greatest common factor (GCF) of 24840 and 24855 is 15.

GCF(24840,24855) = 15

We will now calculate the prime factors of 24840 and 24855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24840 and 24855.

How to find the GCF of 24840 and 24855?

We will first find the prime factorization of 24840 and 24855. After we will calculate the factors of 24840 and 24855 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 24855

Prime factors of 24855 are 3, 5, 1657. Prime factorization of 24855 in exponential form is:

24855 = 3¹ × 5¹ × 1657¹

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 24855

List of positive integer factors of 24855 that divides 24840 without a remainder.

1, 3, 5, 15, 1657, 4971, 8285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24840 and 24855. The biggest common factor number is the GCF number.
So the greatest common factor 24840 and 24855 is 15.

Also check out the Least Common Multiple of 24840 and 24855