What is the Greatest Common Factor of 24728 and 24739?

Greatest common factor (GCF) of 24728 and 24739 is 11.

GCF(24728,24739) = 11

We will now calculate the prime factors of 24728 and 24739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24728 and 24739.

How to find the GCF of 24728 and 24739?

We will first find the prime factorization of 24728 and 24739. After we will calculate the factors of 24728 and 24739 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24739

Prime factors of 24739 are 11, 13, 173. Prime factorization of 24739 in exponential form is:

24739 = 11¹ × 13¹ × 173¹

Step-3: Factors of 24728

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

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

Step-4: Factors of 24739

List of positive integer factors of 24739 that divides 24728 without a remainder.

1, 11, 13, 143, 173, 1903, 2249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24728 and 24739. The biggest common factor number is the GCF number.
So the greatest common factor 24728 and 24739 is 11.

Also check out the Least Common Multiple of 24728 and 24739