What is the Greatest Common Factor of 24645 and 24657?

Greatest common factor (GCF) of 24645 and 24657 is 3.

GCF(24645,24657) = 3

We will now calculate the prime factors of 24645 and 24657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24645 and 24657.

How to find the GCF of 24645 and 24657?

We will first find the prime factorization of 24645 and 24657. After we will calculate the factors of 24645 and 24657 and find the biggest common factor number .

Step-1: Prime Factorization of 24645

Prime factors of 24645 are 3, 5, 31, 53. Prime factorization of 24645 in exponential form is:

24645 = 3¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 24657

Prime factors of 24657 are 3, 8219. Prime factorization of 24657 in exponential form is:

24657 = 3¹ × 8219¹

Step-3: Factors of 24645

List of positive integer factors of 24645 that divides 24645 without a remainder.

1, 3, 5, 15, 31, 53, 93, 155, 159, 265, 465, 795, 1643, 4929, 8215

Step-4: Factors of 24657

List of positive integer factors of 24657 that divides 24645 without a remainder.

1, 3, 8219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24645 and 24657. The biggest common factor number is the GCF number.
So the greatest common factor 24645 and 24657 is 3.

Also check out the Least Common Multiple of 24645 and 24657