What is the Greatest Common Factor of 24574 and 24588?

Greatest common factor (GCF) of 24574 and 24588 is 2.

GCF(24574,24588) = 2

We will now calculate the prime factors of 24574 and 24588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24574 and 24588.

How to find the GCF of 24574 and 24588?

We will first find the prime factorization of 24574 and 24588. After we will calculate the factors of 24574 and 24588 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 24588

Prime factors of 24588 are 2, 3, 683. Prime factorization of 24588 in exponential form is:

24588 = 2² × 3² × 683¹

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 24588

List of positive integer factors of 24588 that divides 24574 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 683, 1366, 2049, 2732, 4098, 6147, 8196, 12294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24574 and 24588. The biggest common factor number is the GCF number.
So the greatest common factor 24574 and 24588 is 2.

Also check out the Least Common Multiple of 24574 and 24588