What is the Greatest Common Factor of 24627 and 24645?

Greatest common factor (GCF) of 24627 and 24645 is 3.

GCF(24627,24645) = 3

We will now calculate the prime factors of 24627 and 24645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24627 and 24645.

How to find the GCF of 24627 and 24645?

We will first find the prime factorization of 24627 and 24645. After we will calculate the factors of 24627 and 24645 and find the biggest common factor number .

Step-1: Prime Factorization of 24627

Prime factors of 24627 are 3, 8209. Prime factorization of 24627 in exponential form is:

24627 = 3¹ × 8209¹

Step-2: 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-3: Factors of 24627

List of positive integer factors of 24627 that divides 24627 without a remainder.

1, 3, 8209

Step-4: Factors of 24645

List of positive integer factors of 24645 that divides 24627 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24627 and 24645. The biggest common factor number is the GCF number.
So the greatest common factor 24627 and 24645 is 3.

Also check out the Least Common Multiple of 24627 and 24645