What is the Greatest Common Factor of 24578 and 24592?

Greatest common factor (GCF) of 24578 and 24592 is 2.

GCF(24578,24592) = 2

We will now calculate the prime factors of 24578 and 24592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24578 and 24592.

How to find the GCF of 24578 and 24592?

We will first find the prime factorization of 24578 and 24592. After we will calculate the factors of 24578 and 24592 and find the biggest common factor number .

Step-1: Prime Factorization of 24578

Prime factors of 24578 are 2, 12289. Prime factorization of 24578 in exponential form is:

24578 = 2¹ × 12289¹

Step-2: Prime Factorization of 24592

Prime factors of 24592 are 2, 29, 53. Prime factorization of 24592 in exponential form is:

24592 = 2⁴ × 29¹ × 53¹

Step-3: Factors of 24578

List of positive integer factors of 24578 that divides 24578 without a remainder.

1, 2, 12289

Step-4: Factors of 24592

List of positive integer factors of 24592 that divides 24578 without a remainder.

1, 2, 4, 8, 16, 29, 53, 58, 106, 116, 212, 232, 424, 464, 848, 1537, 3074, 6148, 12296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24578 and 24592. The biggest common factor number is the GCF number.
So the greatest common factor 24578 and 24592 is 2.

Also check out the Least Common Multiple of 24578 and 24592