What is the Greatest Common Factor of 24654 and 24672?

Greatest common factor (GCF) of 24654 and 24672 is 6.

GCF(24654,24672) = 6

We will now calculate the prime factors of 24654 and 24672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24654 and 24672.

How to find the GCF of 24654 and 24672?

We will first find the prime factorization of 24654 and 24672. After we will calculate the factors of 24654 and 24672 and find the biggest common factor number .

Step-1: Prime Factorization of 24654

Prime factors of 24654 are 2, 3, 7, 587. Prime factorization of 24654 in exponential form is:

24654 = 2¹ × 3¹ × 7¹ × 587¹

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 24654

List of positive integer factors of 24654 that divides 24654 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 587, 1174, 1761, 3522, 4109, 8218, 12327

Step-4: Factors of 24672

List of positive integer factors of 24672 that divides 24654 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 24654 and 24672. The biggest common factor number is the GCF number.
So the greatest common factor 24654 and 24672 is 6.

Also check out the Least Common Multiple of 24654 and 24672