What is the Greatest Common Factor of 24825 and 24837?

Greatest common factor (GCF) of 24825 and 24837 is 3.

GCF(24825,24837) = 3

We will now calculate the prime factors of 24825 and 24837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24825 and 24837.

How to find the GCF of 24825 and 24837?

We will first find the prime factorization of 24825 and 24837. After we will calculate the factors of 24825 and 24837 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 24837

Prime factors of 24837 are 3, 17, 487. Prime factorization of 24837 in exponential form is:

24837 = 3¹ × 17¹ × 487¹

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 24837

List of positive integer factors of 24837 that divides 24825 without a remainder.

1, 3, 17, 51, 487, 1461, 8279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24825 and 24837. The biggest common factor number is the GCF number.
So the greatest common factor 24825 and 24837 is 3.

Also check out the Least Common Multiple of 24825 and 24837