What is the Greatest Common Factor of 850 and 865?

Greatest common factor (GCF) of 850 and 865 is 5.

GCF(850,865) = 5

We will now calculate the prime factors of 850 and 865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 850 and 865.

How to find the GCF of 850 and 865?

We will first find the prime factorization of 850 and 865. After we will calculate the factors of 850 and 865 and find the biggest common factor number .

Step-1: Prime Factorization of 850

Prime factors of 850 are 2, 5, 17. Prime factorization of 850 in exponential form is:

850 = 2¹ × 5² × 17¹

Step-2: Prime Factorization of 865

Prime factors of 865 are 5, 173. Prime factorization of 865 in exponential form is:

865 = 5¹ × 173¹

Step-3: Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425

Step-4: Factors of 865

List of positive integer factors of 865 that divides 850 without a remainder.

1, 5, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 850 and 865. The biggest common factor number is the GCF number.
So the greatest common factor 850 and 865 is 5.

Also check out the Least Common Multiple of 850 and 865