What is the Greatest Common Factor of 24928 and 24948?

Greatest common factor (GCF) of 24928 and 24948 is 4.

GCF(24928,24948) = 4

We will now calculate the prime factors of 24928 and 24948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24928 and 24948.

How to find the GCF of 24928 and 24948?

We will first find the prime factorization of 24928 and 24948. After we will calculate the factors of 24928 and 24948 and find the biggest common factor number .

Step-1: Prime Factorization of 24928

Prime factors of 24928 are 2, 19, 41. Prime factorization of 24928 in exponential form is:

24928 = 2⁵ × 19¹ × 41¹

Step-2: Prime Factorization of 24948

Prime factors of 24948 are 2, 3, 7, 11. Prime factorization of 24948 in exponential form is:

24948 = 2² × 3⁴ × 7¹ × 11¹

Step-3: Factors of 24928

List of positive integer factors of 24928 that divides 24928 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 76, 82, 152, 164, 304, 328, 608, 656, 779, 1312, 1558, 3116, 6232, 12464

Step-4: Factors of 24948

List of positive integer factors of 24948 that divides 24928 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 81, 84, 99, 108, 126, 132, 154, 162, 189, 198, 231, 252, 297, 308, 324, 378, 396, 462, 567, 594, 693, 756, 891, 924, 1134, 1188, 1386, 1782, 2079, 2268, 2772, 3564, 4158, 6237, 8316, 12474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24928 and 24948. The biggest common factor number is the GCF number.
So the greatest common factor 24928 and 24948 is 4.

Also check out the Least Common Multiple of 24928 and 24948