What is the Greatest Common Factor of 24089 and 24100?

Greatest common factor (GCF) of 24089 and 24100 is 1.

GCF(24089,24100) = 1

We will now calculate the prime factors of 24089 and 24100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24089 and 24100.

How to find the GCF of 24089 and 24100?

We will first find the prime factorization of 24089 and 24100. After we will calculate the factors of 24089 and 24100 and find the biggest common factor number .

Step-1: Prime Factorization of 24089

Prime factors of 24089 are 13, 17, 109. Prime factorization of 24089 in exponential form is:

24089 = 13¹ × 17¹ × 109¹

Step-2: 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-3: Factors of 24089

List of positive integer factors of 24089 that divides 24089 without a remainder.

1, 13, 17, 109, 221, 1417, 1853

Step-4: Factors of 24100

List of positive integer factors of 24100 that divides 24089 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24089 and 24100. The biggest common factor number is the GCF number.
So the greatest common factor 24089 and 24100 is 1.

Also check out the Least Common Multiple of 24089 and 24100