What is the Greatest Common Factor of 24930 and 24936?

Greatest common factor (GCF) of 24930 and 24936 is 6.

GCF(24930,24936) = 6

We will now calculate the prime factors of 24930 and 24936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24930 and 24936.

How to find the GCF of 24930 and 24936?

We will first find the prime factorization of 24930 and 24936. After we will calculate the factors of 24930 and 24936 and find the biggest common factor number .

Step-1: Prime Factorization of 24930

Prime factors of 24930 are 2, 3, 5, 277. Prime factorization of 24930 in exponential form is:

24930 = 2¹ × 3² × 5¹ × 277¹

Step-2: Prime Factorization of 24936

Prime factors of 24936 are 2, 3, 1039. Prime factorization of 24936 in exponential form is:

24936 = 2³ × 3¹ × 1039¹

Step-3: Factors of 24930

List of positive integer factors of 24930 that divides 24930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 277, 554, 831, 1385, 1662, 2493, 2770, 4155, 4986, 8310, 12465

Step-4: Factors of 24936

List of positive integer factors of 24936 that divides 24930 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1039, 2078, 3117, 4156, 6234, 8312, 12468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24930 and 24936. The biggest common factor number is the GCF number.
So the greatest common factor 24930 and 24936 is 6.

Also check out the Least Common Multiple of 24930 and 24936