What is the Greatest Common Factor of 24588 and 24596?

Greatest common factor (GCF) of 24588 and 24596 is 4.

GCF(24588,24596) = 4

We will now calculate the prime factors of 24588 and 24596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24588 and 24596.

How to find the GCF of 24588 and 24596?

We will first find the prime factorization of 24588 and 24596. After we will calculate the factors of 24588 and 24596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24596

Prime factors of 24596 are 2, 11, 13, 43. Prime factorization of 24596 in exponential form is:

24596 = 2² × 11¹ × 13¹ × 43¹

Step-3: Factors of 24588

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

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

Step-4: Factors of 24596

List of positive integer factors of 24596 that divides 24588 without a remainder.

1, 2, 4, 11, 13, 22, 26, 43, 44, 52, 86, 143, 172, 286, 473, 559, 572, 946, 1118, 1892, 2236, 6149, 12298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24588 and 24596. The biggest common factor number is the GCF number.
So the greatest common factor 24588 and 24596 is 4.

Also check out the Least Common Multiple of 24588 and 24596