What is the Greatest Common Factor of 16801 and 16807?

Greatest common factor (GCF) of 16801 and 16807 is 1.

GCF(16801,16807) = 1

We will now calculate the prime factors of 16801 and 16807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16801 and 16807.

How to find the GCF of 16801 and 16807?

We will first find the prime factorization of 16801 and 16807. After we will calculate the factors of 16801 and 16807 and find the biggest common factor number .

Step-1: Prime Factorization of 16801

Prime factors of 16801 are 53, 317. Prime factorization of 16801 in exponential form is:

16801 = 53¹ × 317¹

Step-2: Prime Factorization of 16807

Prime factors of 16807 are 7. Prime factorization of 16807 in exponential form is:

16807 = 7⁵

Step-3: Factors of 16801

List of positive integer factors of 16801 that divides 16801 without a remainder.

1, 53, 317

Step-4: Factors of 16807

List of positive integer factors of 16807 that divides 16801 without a remainder.

1, 7, 49, 343, 2401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16801 and 16807. The biggest common factor number is the GCF number.
So the greatest common factor 16801 and 16807 is 1.

Also check out the Least Common Multiple of 16801 and 16807