What is the Greatest Common Factor of 24948 and 24963?

Greatest common factor (GCF) of 24948 and 24963 is 3.

GCF(24948,24963) = 3

We will now calculate the prime factors of 24948 and 24963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24948 and 24963.

How to find the GCF of 24948 and 24963?

We will first find the prime factorization of 24948 and 24963. After we will calculate the factors of 24948 and 24963 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24963

Prime factors of 24963 are 3, 53, 157. Prime factorization of 24963 in exponential form is:

24963 = 3¹ × 53¹ × 157¹

Step-3: Factors of 24948

List of positive integer factors of 24948 that divides 24948 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

Step-4: Factors of 24963

List of positive integer factors of 24963 that divides 24948 without a remainder.

1, 3, 53, 157, 159, 471, 8321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24948 and 24963. The biggest common factor number is the GCF number.
So the greatest common factor 24948 and 24963 is 3.

Also check out the Least Common Multiple of 24948 and 24963