What is the Greatest Common Factor of 24574 and 24580?

Greatest common factor (GCF) of 24574 and 24580 is 2.

GCF(24574,24580) = 2

We will now calculate the prime factors of 24574 and 24580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24574 and 24580.

How to find the GCF of 24574 and 24580?

We will first find the prime factorization of 24574 and 24580. After we will calculate the factors of 24574 and 24580 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24580

Prime factors of 24580 are 2, 5, 1229. Prime factorization of 24580 in exponential form is:

24580 = 2² × 5¹ × 1229¹

Step-3: Factors of 24574

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

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

Step-4: Factors of 24580

List of positive integer factors of 24580 that divides 24574 without a remainder.

1, 2, 4, 5, 10, 20, 1229, 2458, 4916, 6145, 12290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24574 and 24580. The biggest common factor number is the GCF number.
So the greatest common factor 24574 and 24580 is 2.

Also check out the Least Common Multiple of 24574 and 24580