What is the Greatest Common Factor of 24672 and 24677?

Greatest common factor (GCF) of 24672 and 24677 is 1.

GCF(24672,24677) = 1

We will now calculate the prime factors of 24672 and 24677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24672 and 24677.

How to find the GCF of 24672 and 24677?

We will first find the prime factorization of 24672 and 24677. After we will calculate the factors of 24672 and 24677 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 24677

Prime factors of 24677 are 24677. Prime factorization of 24677 in exponential form is:

24677 = 24677¹

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 24677

List of positive integer factors of 24677 that divides 24672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24672 and 24677. The biggest common factor number is the GCF number.
So the greatest common factor 24672 and 24677 is 1.

Also check out the Least Common Multiple of 24672 and 24677