What is the Greatest Common Factor of 24091 and 24100?

Greatest common factor (GCF) of 24091 and 24100 is 1.

GCF(24091,24100) = 1

We will now calculate the prime factors of 24091 and 24100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24091 and 24100.

How to find the GCF of 24091 and 24100?

We will first find the prime factorization of 24091 and 24100. After we will calculate the factors of 24091 and 24100 and find the biggest common factor number .

Step-1: Prime Factorization of 24091

Prime factors of 24091 are 24091. Prime factorization of 24091 in exponential form is:

24091 = 24091¹

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 24091

List of positive integer factors of 24091 that divides 24091 without a remainder.

Step-4: Factors of 24100

List of positive integer factors of 24100 that divides 24091 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 24091 and 24100. The biggest common factor number is the GCF number.
So the greatest common factor 24091 and 24100 is 1.

Also check out the Least Common Multiple of 24091 and 24100