What is the Greatest Common Factor of 24719 and 24728?

Greatest common factor (GCF) of 24719 and 24728 is 1.

GCF(24719,24728) = 1

We will now calculate the prime factors of 24719 and 24728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24719 and 24728.

How to find the GCF of 24719 and 24728?

We will first find the prime factorization of 24719 and 24728. After we will calculate the factors of 24719 and 24728 and find the biggest common factor number .

Step-1: Prime Factorization of 24719

Prime factors of 24719 are 19, 1301. Prime factorization of 24719 in exponential form is:

24719 = 19¹ × 1301¹

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 24719

List of positive integer factors of 24719 that divides 24719 without a remainder.

1, 19, 1301

Step-4: Factors of 24728

List of positive integer factors of 24728 that divides 24719 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 24719 and 24728. The biggest common factor number is the GCF number.
So the greatest common factor 24719 and 24728 is 1.

Also check out the Least Common Multiple of 24719 and 24728