What is the Greatest Common Factor of 785 and 805?

Greatest common factor (GCF) of 785 and 805 is 5.

GCF(785,805) = 5

We will now calculate the prime factors of 785 and 805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 785 and 805.

How to find the GCF of 785 and 805?

We will first find the prime factorization of 785 and 805. After we will calculate the factors of 785 and 805 and find the biggest common factor number .

Step-1: Prime Factorization of 785

Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:

785 = 5¹ × 157¹

Step-2: Prime Factorization of 805

Prime factors of 805 are 5, 7, 23. Prime factorization of 805 in exponential form is:

805 = 5¹ × 7¹ × 23¹

Step-3: Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157

Step-4: Factors of 805

List of positive integer factors of 805 that divides 785 without a remainder.

1, 5, 7, 23, 35, 115, 161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 785 and 805. The biggest common factor number is the GCF number.
So the greatest common factor 785 and 805 is 5.

Also check out the Least Common Multiple of 785 and 805