What is the Greatest Common Factor of 24720 and 24734?

Greatest common factor (GCF) of 24720 and 24734 is 2.

GCF(24720,24734) = 2

We will now calculate the prime factors of 24720 and 24734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24720 and 24734.

How to find the GCF of 24720 and 24734?

We will first find the prime factorization of 24720 and 24734. After we will calculate the factors of 24720 and 24734 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 24734

Prime factors of 24734 are 2, 83, 149. Prime factorization of 24734 in exponential form is:

24734 = 2¹ × 83¹ × 149¹

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 24734

List of positive integer factors of 24734 that divides 24720 without a remainder.

1, 2, 83, 149, 166, 298, 12367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24720 and 24734. The biggest common factor number is the GCF number.
So the greatest common factor 24720 and 24734 is 2.

Also check out the Least Common Multiple of 24720 and 24734