What is the Greatest Common Factor of 24728 and 24746?

Greatest common factor (GCF) of 24728 and 24746 is 2.

GCF(24728,24746) = 2

We will now calculate the prime factors of 24728 and 24746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24728 and 24746.

How to find the GCF of 24728 and 24746?

We will first find the prime factorization of 24728 and 24746. After we will calculate the factors of 24728 and 24746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24746

Prime factors of 24746 are 2, 12373. Prime factorization of 24746 in exponential form is:

24746 = 2¹ × 12373¹

Step-3: Factors of 24728

List of positive integer factors of 24728 that divides 24728 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 281, 562, 1124, 2248, 3091, 6182, 12364

Step-4: Factors of 24746

List of positive integer factors of 24746 that divides 24728 without a remainder.

1, 2, 12373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24728 and 24746. The biggest common factor number is the GCF number.
So the greatest common factor 24728 and 24746 is 2.

Also check out the Least Common Multiple of 24728 and 24746