What is the Greatest Common Factor of 782 and 799?

Greatest common factor (GCF) of 782 and 799 is 17.

GCF(782,799) = 17

We will now calculate the prime factors of 782 and 799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 782 and 799.

How to find the GCF of 782 and 799?

We will first find the prime factorization of 782 and 799. After we will calculate the factors of 782 and 799 and find the biggest common factor number .

Step-1: Prime Factorization of 782

Prime factors of 782 are 2, 17, 23. Prime factorization of 782 in exponential form is:

782 = 2¹ × 17¹ × 23¹

Step-2: Prime Factorization of 799

Prime factors of 799 are 17, 47. Prime factorization of 799 in exponential form is:

799 = 17¹ × 47¹

Step-3: Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391

Step-4: Factors of 799

List of positive integer factors of 799 that divides 782 without a remainder.

1, 17, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 782 and 799. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 799 is 17.

Also check out the Least Common Multiple of 782 and 799