What is the Greatest Common Factor of 24642 and 24660?

Greatest common factor (GCF) of 24642 and 24660 is 18.

GCF(24642,24660) = 18

We will now calculate the prime factors of 24642 and 24660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24642 and 24660.

How to find the GCF of 24642 and 24660?

We will first find the prime factorization of 24642 and 24660. After we will calculate the factors of 24642 and 24660 and find the biggest common factor number .

Step-1: Prime Factorization of 24642

Prime factors of 24642 are 2, 3, 37. Prime factorization of 24642 in exponential form is:

24642 = 2¹ × 3² × 37²

Step-2: 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-3: Factors of 24642

List of positive integer factors of 24642 that divides 24642 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214, 12321

Step-4: Factors of 24660

List of positive integer factors of 24660 that divides 24642 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24642 and 24660. The biggest common factor number is the GCF number.
So the greatest common factor 24642 and 24660 is 18.

Also check out the Least Common Multiple of 24642 and 24660