What is the Greatest Common Factor of 24710 and 24720?

Greatest common factor (GCF) of 24710 and 24720 is 10.

GCF(24710,24720) = 10

We will now calculate the prime factors of 24710 and 24720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24710 and 24720.

How to find the GCF of 24710 and 24720?

We will first find the prime factorization of 24710 and 24720. After we will calculate the factors of 24710 and 24720 and find the biggest common factor number .

Step-1: Prime Factorization of 24710

Prime factors of 24710 are 2, 5, 7, 353. Prime factorization of 24710 in exponential form is:

24710 = 2¹ × 5¹ × 7¹ × 353¹

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 24710

List of positive integer factors of 24710 that divides 24710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 353, 706, 1765, 2471, 3530, 4942, 12355

Step-4: Factors of 24720

List of positive integer factors of 24720 that divides 24710 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 24710 and 24720. The biggest common factor number is the GCF number.
So the greatest common factor 24710 and 24720 is 10.

Also check out the Least Common Multiple of 24710 and 24720