What is the Greatest Common Factor of 1792 and 1799?

Greatest common factor (GCF) of 1792 and 1799 is 7.

GCF(1792,1799) = 7

We will now calculate the prime factors of 1792 and 1799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1792 and 1799.

How to find the GCF of 1792 and 1799?

We will first find the prime factorization of 1792 and 1799. After we will calculate the factors of 1792 and 1799 and find the biggest common factor number .

Step-1: Prime Factorization of 1792

Prime factors of 1792 are 2, 7. Prime factorization of 1792 in exponential form is:

1792 = 2⁸ × 7¹

Step-2: Prime Factorization of 1799

Prime factors of 1799 are 7, 257. Prime factorization of 1799 in exponential form is:

1799 = 7¹ × 257¹

Step-3: Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896

Step-4: Factors of 1799

List of positive integer factors of 1799 that divides 1792 without a remainder.

1, 7, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1792 and 1799. The biggest common factor number is the GCF number.
So the greatest common factor 1792 and 1799 is 7.

Also check out the Least Common Multiple of 1792 and 1799