What is the Greatest Common Factor of 24609 and 24618?

Greatest common factor (GCF) of 24609 and 24618 is 3.

GCF(24609,24618) = 3

We will now calculate the prime factors of 24609 and 24618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24609 and 24618.

How to find the GCF of 24609 and 24618?

We will first find the prime factorization of 24609 and 24618. After we will calculate the factors of 24609 and 24618 and find the biggest common factor number .

Step-1: Prime Factorization of 24609

Prime factors of 24609 are 3, 13, 631. Prime factorization of 24609 in exponential form is:

24609 = 3¹ × 13¹ × 631¹

Step-2: Prime Factorization of 24618

Prime factors of 24618 are 2, 3, 11, 373. Prime factorization of 24618 in exponential form is:

24618 = 2¹ × 3¹ × 11¹ × 373¹

Step-3: Factors of 24609

List of positive integer factors of 24609 that divides 24609 without a remainder.

1, 3, 13, 39, 631, 1893, 8203

Step-4: Factors of 24618

List of positive integer factors of 24618 that divides 24609 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 373, 746, 1119, 2238, 4103, 8206, 12309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24609 and 24618. The biggest common factor number is the GCF number.
So the greatest common factor 24609 and 24618 is 3.

Also check out the Least Common Multiple of 24609 and 24618