What is the Greatest Common Factor of 6785 and 6800?

Greatest common factor (GCF) of 6785 and 6800 is 5.

GCF(6785,6800) = 5

We will now calculate the prime factors of 6785 and 6800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6785 and 6800.

How to find the GCF of 6785 and 6800?

We will first find the prime factorization of 6785 and 6800. After we will calculate the factors of 6785 and 6800 and find the biggest common factor number .

Step-1: Prime Factorization of 6785

Prime factors of 6785 are 5, 23, 59. Prime factorization of 6785 in exponential form is:

6785 = 5¹ × 23¹ × 59¹

Step-2: Prime Factorization of 6800

Prime factors of 6800 are 2, 5, 17. Prime factorization of 6800 in exponential form is:

6800 = 2⁴ × 5² × 17¹

Step-3: Factors of 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1, 5, 23, 59, 115, 295, 1357

Step-4: Factors of 6800

List of positive integer factors of 6800 that divides 6785 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6785 and 6800. The biggest common factor number is the GCF number.
So the greatest common factor 6785 and 6800 is 5.

Also check out the Least Common Multiple of 6785 and 6800