What is the Greatest Common Factor of 24714 and 24720?

Greatest common factor (GCF) of 24714 and 24720 is 6.

GCF(24714,24720) = 6

We will now calculate the prime factors of 24714 and 24720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24714 and 24720.

How to find the GCF of 24714 and 24720?

We will first find the prime factorization of 24714 and 24720. After we will calculate the factors of 24714 and 24720 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 24720

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

24720 = 2⁴ × 3¹ × 5¹ × 103¹

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 24720

List of positive integer factors of 24720 that divides 24714 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24714 and 24720. The biggest common factor number is the GCF number.
So the greatest common factor 24714 and 24720 is 6.

Also check out the Least Common Multiple of 24714 and 24720