What is the Greatest Common Factor of 24664 and 24672?

Greatest common factor (GCF) of 24664 and 24672 is 8.

GCF(24664,24672) = 8

We will now calculate the prime factors of 24664 and 24672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24664 and 24672.

How to find the GCF of 24664 and 24672?

We will first find the prime factorization of 24664 and 24672. After we will calculate the factors of 24664 and 24672 and find the biggest common factor number .

Step-1: Prime Factorization of 24664

Prime factors of 24664 are 2, 3083. Prime factorization of 24664 in exponential form is:

24664 = 2³ × 3083¹

Step-2: 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-3: Factors of 24664

List of positive integer factors of 24664 that divides 24664 without a remainder.

1, 2, 4, 8, 3083, 6166, 12332

Step-4: Factors of 24672

List of positive integer factors of 24672 that divides 24664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24664 and 24672. The biggest common factor number is the GCF number.
So the greatest common factor 24664 and 24672 is 8.

Also check out the Least Common Multiple of 24664 and 24672