What is the Greatest Common Factor of 790 and 800?

Greatest common factor (GCF) of 790 and 800 is 10.

GCF(790,800) = 10

We will now calculate the prime factors of 790 and 800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 790 and 800.

How to find the GCF of 790 and 800?

We will first find the prime factorization of 790 and 800. After we will calculate the factors of 790 and 800 and find the biggest common factor number .

Step-1: Prime Factorization of 790

Prime factors of 790 are 2, 5, 79. Prime factorization of 790 in exponential form is:

790 = 2¹ × 5¹ × 79¹

Step-2: Prime Factorization of 800

Prime factors of 800 are 2, 5. Prime factorization of 800 in exponential form is:

800 = 2⁵ × 5²

Step-3: Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395

Step-4: Factors of 800

List of positive integer factors of 800 that divides 790 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 790 and 800. The biggest common factor number is the GCF number.
So the greatest common factor 790 and 800 is 10.

Also check out the Least Common Multiple of 790 and 800