What is the Greatest Common Factor of 24801 and 24806?

Greatest common factor (GCF) of 24801 and 24806 is 1.

GCF(24801,24806) = 1

We will now calculate the prime factors of 24801 and 24806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24801 and 24806.

How to find the GCF of 24801 and 24806?

We will first find the prime factorization of 24801 and 24806. After we will calculate the factors of 24801 and 24806 and find the biggest common factor number .

Step-1: Prime Factorization of 24801

Prime factors of 24801 are 3, 7, 1181. Prime factorization of 24801 in exponential form is:

24801 = 3¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 24806

Prime factors of 24806 are 2, 79, 157. Prime factorization of 24806 in exponential form is:

24806 = 2¹ × 79¹ × 157¹

Step-3: Factors of 24801

List of positive integer factors of 24801 that divides 24801 without a remainder.

1, 3, 7, 21, 1181, 3543, 8267

Step-4: Factors of 24806

List of positive integer factors of 24806 that divides 24801 without a remainder.

1, 2, 79, 157, 158, 314, 12403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24801 and 24806. The biggest common factor number is the GCF number.
So the greatest common factor 24801 and 24806 is 1.

Also check out the Least Common Multiple of 24801 and 24806