What is the Greatest Common Factor of 24837 and 24846?

Greatest common factor (GCF) of 24837 and 24846 is 3.

GCF(24837,24846) = 3

We will now calculate the prime factors of 24837 and 24846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24837 and 24846.

How to find the GCF of 24837 and 24846?

We will first find the prime factorization of 24837 and 24846. After we will calculate the factors of 24837 and 24846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24846

Prime factors of 24846 are 2, 3, 41, 101. Prime factorization of 24846 in exponential form is:

24846 = 2¹ × 3¹ × 41¹ × 101¹

Step-3: Factors of 24837

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

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

Step-4: Factors of 24846

List of positive integer factors of 24846 that divides 24837 without a remainder.

1, 2, 3, 6, 41, 82, 101, 123, 202, 246, 303, 606, 4141, 8282, 12423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24837 and 24846. The biggest common factor number is the GCF number.
So the greatest common factor 24837 and 24846 is 3.

Also check out the Least Common Multiple of 24837 and 24846