What is the Greatest Common Factor of 24825 and 24840?

Greatest common factor (GCF) of 24825 and 24840 is 15.

GCF(24825,24840) = 15

We will now calculate the prime factors of 24825 and 24840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24825 and 24840.

How to find the GCF of 24825 and 24840?

We will first find the prime factorization of 24825 and 24840. After we will calculate the factors of 24825 and 24840 and find the biggest common factor number .

Step-1: Prime Factorization of 24825

Prime factors of 24825 are 3, 5, 331. Prime factorization of 24825 in exponential form is:

24825 = 3¹ × 5² × 331¹

Step-2: 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-3: Factors of 24825

List of positive integer factors of 24825 that divides 24825 without a remainder.

1, 3, 5, 15, 25, 75, 331, 993, 1655, 4965, 8275

Step-4: Factors of 24840

List of positive integer factors of 24840 that divides 24825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24825 and 24840. The biggest common factor number is the GCF number.
So the greatest common factor 24825 and 24840 is 15.

Also check out the Least Common Multiple of 24825 and 24840