What is the Greatest Common Factor of 24714 and 24719?

Greatest common factor (GCF) of 24714 and 24719 is 1.

GCF(24714,24719) = 1

We will now calculate the prime factors of 24714 and 24719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24714 and 24719.

How to find the GCF of 24714 and 24719?

We will first find the prime factorization of 24714 and 24719. After we will calculate the factors of 24714 and 24719 and find the biggest common factor number .

Step-1: Prime Factorization of 24714

Prime factors of 24714 are 2, 3, 1373. Prime factorization of 24714 in exponential form is:

24714 = 2¹ × 3² × 1373¹

Step-2: Prime Factorization of 24719

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

24719 = 19¹ × 1301¹

Step-3: Factors of 24714

List of positive integer factors of 24714 that divides 24714 without a remainder.

1, 2, 3, 6, 9, 18, 1373, 2746, 4119, 8238, 12357

Step-4: Factors of 24719

List of positive integer factors of 24719 that divides 24714 without a remainder.

1, 19, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24714 and 24719. The biggest common factor number is the GCF number.
So the greatest common factor 24714 and 24719 is 1.

Also check out the Least Common Multiple of 24714 and 24719