What is the Greatest Common Factor of 24660 and 24669?

Greatest common factor (GCF) of 24660 and 24669 is 9.

GCF(24660,24669) = 9

We will now calculate the prime factors of 24660 and 24669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24660 and 24669.

How to find the GCF of 24660 and 24669?

We will first find the prime factorization of 24660 and 24669. After we will calculate the factors of 24660 and 24669 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 24669

Prime factors of 24669 are 3, 2741. Prime factorization of 24669 in exponential form is:

24669 = 3² × 2741¹

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 24669

List of positive integer factors of 24669 that divides 24660 without a remainder.

1, 3, 9, 2741, 8223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24660 and 24669. The biggest common factor number is the GCF number.
So the greatest common factor 24660 and 24669 is 9.

Also check out the Least Common Multiple of 24660 and 24669