What is the Greatest Common Factor of 24660 and 24676?

Greatest common factor (GCF) of 24660 and 24676 is 4.

GCF(24660,24676) = 4

We will now calculate the prime factors of 24660 and 24676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24660 and 24676.

How to find the GCF of 24660 and 24676?

We will first find the prime factorization of 24660 and 24676. After we will calculate the factors of 24660 and 24676 and find the biggest common factor number .

Step-1: Prime Factorization of 24660

Prime factors of 24660 are 2, 3, 5, 137. Prime factorization of 24660 in exponential form is:

24660 = 2² × 3² × 5¹ × 137¹

Step-2: Prime Factorization of 24676

Prime factors of 24676 are 2, 31, 199. Prime factorization of 24676 in exponential form is:

24676 = 2² × 31¹ × 199¹

Step-3: Factors of 24660

List of positive integer factors of 24660 that divides 24660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 137, 180, 274, 411, 548, 685, 822, 1233, 1370, 1644, 2055, 2466, 2740, 4110, 4932, 6165, 8220, 12330

Step-4: Factors of 24676

List of positive integer factors of 24676 that divides 24660 without a remainder.

1, 2, 4, 31, 62, 124, 199, 398, 796, 6169, 12338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24660 and 24676. The biggest common factor number is the GCF number.
So the greatest common factor 24660 and 24676 is 4.

Also check out the Least Common Multiple of 24660 and 24676