What is the Greatest Common Factor of 24814 and 24823?

Greatest common factor (GCF) of 24814 and 24823 is 1.

GCF(24814,24823) = 1

We will now calculate the prime factors of 24814 and 24823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24814 and 24823.

How to find the GCF of 24814 and 24823?

We will first find the prime factorization of 24814 and 24823. After we will calculate the factors of 24814 and 24823 and find the biggest common factor number .

Step-1: Prime Factorization of 24814

Prime factors of 24814 are 2, 19, 653. Prime factorization of 24814 in exponential form is:

24814 = 2¹ × 19¹ × 653¹

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 24814

List of positive integer factors of 24814 that divides 24814 without a remainder.

1, 2, 19, 38, 653, 1306, 12407

Step-4: Factors of 24823

List of positive integer factors of 24823 that divides 24814 without a remainder.

1, 103, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24814 and 24823. The biggest common factor number is the GCF number.
So the greatest common factor 24814 and 24823 is 1.

Also check out the Least Common Multiple of 24814 and 24823