What is the Greatest Common Factor of 803 and 808?

Greatest common factor (GCF) of 803 and 808 is 1.

GCF(803,808) = 1

We will now calculate the prime factors of 803 and 808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 803 and 808.

How to find the GCF of 803 and 808?

We will first find the prime factorization of 803 and 808. After we will calculate the factors of 803 and 808 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 808

Prime factors of 808 are 2, 101. Prime factorization of 808 in exponential form is:

808 = 2³ × 101¹

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 808

List of positive integer factors of 808 that divides 803 without a remainder.

1, 2, 4, 8, 101, 202, 404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 803 and 808. The biggest common factor number is the GCF number.
So the greatest common factor 803 and 808 is 1.

Also check out the Least Common Multiple of 803 and 808