What is the Greatest Common Factor of 24563 and 24574?

Greatest common factor (GCF) of 24563 and 24574 is 11.

GCF(24563,24574) = 11

We will now calculate the prime factors of 24563 and 24574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24563 and 24574.

How to find the GCF of 24563 and 24574?

We will first find the prime factorization of 24563 and 24574. After we will calculate the factors of 24563 and 24574 and find the biggest common factor number .

Step-1: Prime Factorization of 24563

Prime factors of 24563 are 7, 11, 29. Prime factorization of 24563 in exponential form is:

24563 = 7¹ × 11² × 29¹

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 24563

List of positive integer factors of 24563 that divides 24563 without a remainder.

1, 7, 11, 29, 77, 121, 203, 319, 847, 2233, 3509

Step-4: Factors of 24574

List of positive integer factors of 24574 that divides 24563 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24563 and 24574. The biggest common factor number is the GCF number.
So the greatest common factor 24563 and 24574 is 11.

Also check out the Least Common Multiple of 24563 and 24574