What is the Greatest Common Factor of 24512 and 24528?

Greatest common factor (GCF) of 24512 and 24528 is 16.

GCF(24512,24528) = 16

We will now calculate the prime factors of 24512 and 24528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24512 and 24528.

How to find the GCF of 24512 and 24528?

We will first find the prime factorization of 24512 and 24528. After we will calculate the factors of 24512 and 24528 and find the biggest common factor number .

Step-1: Prime Factorization of 24512

Prime factors of 24512 are 2, 383. Prime factorization of 24512 in exponential form is:

24512 = 2⁶ × 383¹

Step-2: Prime Factorization of 24528

Prime factors of 24528 are 2, 3, 7, 73. Prime factorization of 24528 in exponential form is:

24528 = 2⁴ × 3¹ × 7¹ × 73¹

Step-3: Factors of 24512

List of positive integer factors of 24512 that divides 24512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 383, 766, 1532, 3064, 6128, 12256

Step-4: Factors of 24528

List of positive integer factors of 24528 that divides 24512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 73, 84, 112, 146, 168, 219, 292, 336, 438, 511, 584, 876, 1022, 1168, 1533, 1752, 2044, 3066, 3504, 4088, 6132, 8176, 12264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24512 and 24528. The biggest common factor number is the GCF number.
So the greatest common factor 24512 and 24528 is 16.

Also check out the Least Common Multiple of 24512 and 24528