What is the Greatest Common Factor of 784 and 799?

Greatest common factor (GCF) of 784 and 799 is 1.

GCF(784,799) = 1

We will now calculate the prime factors of 784 and 799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 784 and 799.

How to find the GCF of 784 and 799?

We will first find the prime factorization of 784 and 799. After we will calculate the factors of 784 and 799 and find the biggest common factor number .

Step-1: Prime Factorization of 784

Prime factors of 784 are 2, 7. Prime factorization of 784 in exponential form is:

784 = 2⁴ × 7²

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 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392

Step-4: Factors of 799

List of positive integer factors of 799 that divides 784 without a remainder.

1, 17, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 784 and 799. The biggest common factor number is the GCF number.
So the greatest common factor 784 and 799 is 1.

Also check out the Least Common Multiple of 784 and 799