What is the Greatest Common Factor of 792 and 803?

Greatest common factor (GCF) of 792 and 803 is 11.

GCF(792,803) = 11

We will now calculate the prime factors of 792 and 803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 792 and 803.

How to find the GCF of 792 and 803?

We will first find the prime factorization of 792 and 803. After we will calculate the factors of 792 and 803 and find the biggest common factor number .

Step-1: Prime Factorization of 792

Prime factors of 792 are 2, 3, 11. Prime factorization of 792 in exponential form is:

792 = 2³ × 3² × 11¹

Step-2: Prime Factorization of 803

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

803 = 11¹ × 73¹

Step-3: Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396

Step-4: Factors of 803

List of positive integer factors of 803 that divides 792 without a remainder.

1, 11, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 792 and 803. The biggest common factor number is the GCF number.
So the greatest common factor 792 and 803 is 11.

Also check out the Least Common Multiple of 792 and 803