What is the Greatest Common Factor of 803 and 823?

Greatest common factor (GCF) of 803 and 823 is 1.

GCF(803,823) = 1

We will now calculate the prime factors of 803 and 823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 803 and 823.

How to find the GCF of 803 and 823?

We will first find the prime factorization of 803 and 823. After we will calculate the factors of 803 and 823 and find the biggest common factor number .

Step-1: Prime Factorization of 803

Prime factors of 803 are 11, 73. Prime factorization of 803 in exponential form is:

803 = 11¹ × 73¹

Step-2: Prime Factorization of 823

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 823¹

Step-3: Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1, 11, 73

Step-4: Factors of 823

List of positive integer factors of 823 that divides 803 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 803 and 823. The biggest common factor number is the GCF number.
So the greatest common factor 803 and 823 is 1.

Also check out the Least Common Multiple of 803 and 823