What is the Greatest Common Factor of 24803 and 24823?

Greatest common factor (GCF) of 24803 and 24823 is 1.

GCF(24803,24823) = 1

We will now calculate the prime factors of 24803 and 24823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24803 and 24823.

How to find the GCF of 24803 and 24823?

We will first find the prime factorization of 24803 and 24823. After we will calculate the factors of 24803 and 24823 and find the biggest common factor number .

Step-1: Prime Factorization of 24803

Prime factors of 24803 are 17, 1459. Prime factorization of 24803 in exponential form is:

24803 = 17¹ × 1459¹

Step-2: Prime Factorization of 24823

Prime factors of 24823 are 103, 241. Prime factorization of 24823 in exponential form is:

24823 = 103¹ × 241¹

Step-3: Factors of 24803

List of positive integer factors of 24803 that divides 24803 without a remainder.

1, 17, 1459

Step-4: Factors of 24823

List of positive integer factors of 24823 that divides 24803 without a remainder.

1, 103, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24803 and 24823. The biggest common factor number is the GCF number.
So the greatest common factor 24803 and 24823 is 1.

Also check out the Least Common Multiple of 24803 and 24823