What is the Greatest Common Factor of 24634 and 24650?

Greatest common factor (GCF) of 24634 and 24650 is 2.

GCF(24634,24650) = 2

We will now calculate the prime factors of 24634 and 24650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24634 and 24650.

How to find the GCF of 24634 and 24650?

We will first find the prime factorization of 24634 and 24650. After we will calculate the factors of 24634 and 24650 and find the biggest common factor number .

Step-1: Prime Factorization of 24634

Prime factors of 24634 are 2, 109, 113. Prime factorization of 24634 in exponential form is:

24634 = 2¹ × 109¹ × 113¹

Step-2: Prime Factorization of 24650

Prime factors of 24650 are 2, 5, 17, 29. Prime factorization of 24650 in exponential form is:

24650 = 2¹ × 5² × 17¹ × 29¹

Step-3: Factors of 24634

List of positive integer factors of 24634 that divides 24634 without a remainder.

1, 2, 109, 113, 218, 226, 12317

Step-4: Factors of 24650

List of positive integer factors of 24650 that divides 24634 without a remainder.

1, 2, 5, 10, 17, 25, 29, 34, 50, 58, 85, 145, 170, 290, 425, 493, 725, 850, 986, 1450, 2465, 4930, 12325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24634 and 24650. The biggest common factor number is the GCF number.
So the greatest common factor 24634 and 24650 is 2.

Also check out the Least Common Multiple of 24634 and 24650