What is the Greatest Common Factor of 24646 and 24664?

Greatest common factor (GCF) of 24646 and 24664 is 2.

GCF(24646,24664) = 2

We will now calculate the prime factors of 24646 and 24664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24646 and 24664.

How to find the GCF of 24646 and 24664?

We will first find the prime factorization of 24646 and 24664. After we will calculate the factors of 24646 and 24664 and find the biggest common factor number .

Step-1: Prime Factorization of 24646

Prime factors of 24646 are 2, 12323. Prime factorization of 24646 in exponential form is:

24646 = 2¹ × 12323¹

Step-2: Prime Factorization of 24664

Prime factors of 24664 are 2, 3083. Prime factorization of 24664 in exponential form is:

24664 = 2³ × 3083¹

Step-3: Factors of 24646

List of positive integer factors of 24646 that divides 24646 without a remainder.

1, 2, 12323

Step-4: Factors of 24664

List of positive integer factors of 24664 that divides 24646 without a remainder.

1, 2, 4, 8, 3083, 6166, 12332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24646 and 24664. The biggest common factor number is the GCF number.
So the greatest common factor 24646 and 24664 is 2.

Also check out the Least Common Multiple of 24646 and 24664