What is the Greatest Common Factor of 24710 and 24728?

Greatest common factor (GCF) of 24710 and 24728 is 2.

GCF(24710,24728) = 2

We will now calculate the prime factors of 24710 and 24728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24710 and 24728.

How to find the GCF of 24710 and 24728?

We will first find the prime factorization of 24710 and 24728. After we will calculate the factors of 24710 and 24728 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 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 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 24728

List of positive integer factors of 24728 that divides 24710 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 24710 and 24728. The biggest common factor number is the GCF number.
So the greatest common factor 24710 and 24728 is 2.

Also check out the Least Common Multiple of 24710 and 24728