What is the Greatest Common Factor of 24672 and 24688?

Greatest common factor (GCF) of 24672 and 24688 is 16.

GCF(24672,24688) = 16

We will now calculate the prime factors of 24672 and 24688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24672 and 24688.

How to find the GCF of 24672 and 24688?

We will first find the prime factorization of 24672 and 24688. After we will calculate the factors of 24672 and 24688 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 24688

Prime factors of 24688 are 2, 1543. Prime factorization of 24688 in exponential form is:

24688 = 2⁴ × 1543¹

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 24688

List of positive integer factors of 24688 that divides 24672 without a remainder.

1, 2, 4, 8, 16, 1543, 3086, 6172, 12344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24672 and 24688. The biggest common factor number is the GCF number.
So the greatest common factor 24672 and 24688 is 16.

Also check out the Least Common Multiple of 24672 and 24688