What is the Greatest Common Factor of 24574 and 24587?

Greatest common factor (GCF) of 24574 and 24587 is 1.

GCF(24574,24587) = 1

We will now calculate the prime factors of 24574 and 24587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24574 and 24587.

How to find the GCF of 24574 and 24587?

We will first find the prime factorization of 24574 and 24587. After we will calculate the factors of 24574 and 24587 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 24587

Prime factors of 24587 are 23, 1069. Prime factorization of 24587 in exponential form is:

24587 = 23¹ × 1069¹

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 24587

List of positive integer factors of 24587 that divides 24574 without a remainder.

1, 23, 1069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24574 and 24587. The biggest common factor number is the GCF number.
So the greatest common factor 24574 and 24587 is 1.

Also check out the Least Common Multiple of 24574 and 24587