What is the Greatest Common Factor of 24100 and 24109?

Greatest common factor (GCF) of 24100 and 24109 is 1.

GCF(24100,24109) = 1

We will now calculate the prime factors of 24100 and 24109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24100 and 24109.

How to find the GCF of 24100 and 24109?

We will first find the prime factorization of 24100 and 24109. After we will calculate the factors of 24100 and 24109 and find the biggest common factor number .

Step-1: Prime Factorization of 24100

Prime factors of 24100 are 2, 5, 241. Prime factorization of 24100 in exponential form is:

24100 = 2² × 5² × 241¹

Step-2: Prime Factorization of 24109

Prime factors of 24109 are 24109. Prime factorization of 24109 in exponential form is:

24109 = 24109¹

Step-3: Factors of 24100

List of positive integer factors of 24100 that divides 24100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 241, 482, 964, 1205, 2410, 4820, 6025, 12050

Step-4: Factors of 24109

List of positive integer factors of 24109 that divides 24100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24100 and 24109. The biggest common factor number is the GCF number.
So the greatest common factor 24100 and 24109 is 1.

Also check out the Least Common Multiple of 24100 and 24109