What is the Greatest Common Factor of 24556 and 24574?

Greatest common factor (GCF) of 24556 and 24574 is 2.

GCF(24556,24574) = 2

We will now calculate the prime factors of 24556 and 24574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24556 and 24574.

How to find the GCF of 24556 and 24574?

We will first find the prime factorization of 24556 and 24574. After we will calculate the factors of 24556 and 24574 and find the biggest common factor number .

Step-1: Prime Factorization of 24556

Prime factors of 24556 are 2, 7, 877. Prime factorization of 24556 in exponential form is:

24556 = 2² × 7¹ × 877¹

Step-2: Prime Factorization of 24574

Prime factors of 24574 are 2, 11, 1117. Prime factorization of 24574 in exponential form is:

24574 = 2¹ × 11¹ × 1117¹

Step-3: Factors of 24556

List of positive integer factors of 24556 that divides 24556 without a remainder.

1, 2, 4, 7, 14, 28, 877, 1754, 3508, 6139, 12278

Step-4: Factors of 24574

List of positive integer factors of 24574 that divides 24556 without a remainder.

1, 2, 11, 22, 1117, 2234, 12287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24556 and 24574. The biggest common factor number is the GCF number.
So the greatest common factor 24556 and 24574 is 2.

Also check out the Least Common Multiple of 24556 and 24574