What is the Greatest Common Factor of 24672 and 24690?

Greatest common factor (GCF) of 24672 and 24690 is 6.

GCF(24672,24690) = 6

We will now calculate the prime factors of 24672 and 24690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24672 and 24690.

How to find the GCF of 24672 and 24690?

We will first find the prime factorization of 24672 and 24690. After we will calculate the factors of 24672 and 24690 and find the biggest common factor number .

Step-1: Prime Factorization of 24672

Prime factors of 24672 are 2, 3, 257. Prime factorization of 24672 in exponential form is:

24672 = 2⁵ × 3¹ × 257¹

Step-2: Prime Factorization of 24690

Prime factors of 24690 are 2, 3, 5, 823. Prime factorization of 24690 in exponential form is:

24690 = 2¹ × 3¹ × 5¹ × 823¹

Step-3: Factors of 24672

List of positive integer factors of 24672 that divides 24672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 8224, 12336

Step-4: Factors of 24690

List of positive integer factors of 24690 that divides 24672 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 823, 1646, 2469, 4115, 4938, 8230, 12345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24672 and 24690. The biggest common factor number is the GCF number.
So the greatest common factor 24672 and 24690 is 6.

Also check out the Least Common Multiple of 24672 and 24690