What is the Greatest Common Factor of 24674 and 24678?

Greatest common factor (GCF) of 24674 and 24678 is 2.

GCF(24674,24678) = 2

We will now calculate the prime factors of 24674 and 24678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24674 and 24678.

How to find the GCF of 24674 and 24678?

We will first find the prime factorization of 24674 and 24678. After we will calculate the factors of 24674 and 24678 and find the biggest common factor number .

Step-1: Prime Factorization of 24674

Prime factors of 24674 are 2, 13, 73. Prime factorization of 24674 in exponential form is:

24674 = 2¹ × 13² × 73¹

Step-2: Prime Factorization of 24678

Prime factors of 24678 are 2, 3, 457. Prime factorization of 24678 in exponential form is:

24678 = 2¹ × 3³ × 457¹

Step-3: Factors of 24674

List of positive integer factors of 24674 that divides 24674 without a remainder.

1, 2, 13, 26, 73, 146, 169, 338, 949, 1898, 12337

Step-4: Factors of 24678

List of positive integer factors of 24678 that divides 24674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 457, 914, 1371, 2742, 4113, 8226, 12339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24674 and 24678. The biggest common factor number is the GCF number.
So the greatest common factor 24674 and 24678 is 2.

Also check out the Least Common Multiple of 24674 and 24678