What is the Greatest Common Factor of 24720 and 24728?

Greatest common factor (GCF) of 24720 and 24728 is 8.

GCF(24720,24728) = 8

We will now calculate the prime factors of 24720 and 24728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24720 and 24728.

How to find the GCF of 24720 and 24728?

We will first find the prime factorization of 24720 and 24728. After we will calculate the factors of 24720 and 24728 and find the biggest common factor number .

Step-1: Prime Factorization of 24720

Prime factors of 24720 are 2, 3, 5, 103. Prime factorization of 24720 in exponential form is:

24720 = 2⁴ × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 24728

Prime factors of 24728 are 2, 11, 281. Prime factorization of 24728 in exponential form is:

24728 = 2³ × 11¹ × 281¹

Step-3: Factors of 24720

List of positive integer factors of 24720 that divides 24720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 103, 120, 206, 240, 309, 412, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 4120, 4944, 6180, 8240, 12360

Step-4: Factors of 24728

List of positive integer factors of 24728 that divides 24720 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 281, 562, 1124, 2248, 3091, 6182, 12364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24720 and 24728. The biggest common factor number is the GCF number.
So the greatest common factor 24720 and 24728 is 8.

Also check out the Least Common Multiple of 24720 and 24728