What is the Greatest Common Factor of 795 and 801?

Greatest common factor (GCF) of 795 and 801 is 3.

GCF(795,801) = 3

We will now calculate the prime factors of 795 and 801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 795 and 801.

How to find the GCF of 795 and 801?

We will first find the prime factorization of 795 and 801. After we will calculate the factors of 795 and 801 and find the biggest common factor number .

Step-1: Prime Factorization of 795

Prime factors of 795 are 3, 5, 53. Prime factorization of 795 in exponential form is:

795 = 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 801

Prime factors of 801 are 3, 89. Prime factorization of 801 in exponential form is:

801 = 3² × 89¹

Step-3: Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265

Step-4: Factors of 801

List of positive integer factors of 801 that divides 795 without a remainder.

1, 3, 9, 89, 267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 795 and 801. The biggest common factor number is the GCF number.
So the greatest common factor 795 and 801 is 3.

Also check out the Least Common Multiple of 795 and 801