What is the Greatest Common Factor of 24650 and 24654?

Greatest common factor (GCF) of 24650 and 24654 is 2.

GCF(24650,24654) = 2

We will now calculate the prime factors of 24650 and 24654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24650 and 24654.

How to find the GCF of 24650 and 24654?

We will first find the prime factorization of 24650 and 24654. After we will calculate the factors of 24650 and 24654 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24654

Prime factors of 24654 are 2, 3, 7, 587. Prime factorization of 24654 in exponential form is:

24654 = 2¹ × 3¹ × 7¹ × 587¹

Step-3: Factors of 24650

List of positive integer factors of 24650 that divides 24650 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

Step-4: Factors of 24654

List of positive integer factors of 24654 that divides 24650 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 587, 1174, 1761, 3522, 4109, 8218, 12327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24650 and 24654. The biggest common factor number is the GCF number.
So the greatest common factor 24650 and 24654 is 2.

Also check out the Least Common Multiple of 24650 and 24654