What is the Greatest Common Factor of 34850 and 34865?

Greatest common factor (GCF) of 34850 and 34865 is 5.

GCF(34850,34865) = 5

We will now calculate the prime factors of 34850 and 34865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34850 and 34865.

How to find the GCF of 34850 and 34865?

We will first find the prime factorization of 34850 and 34865. After we will calculate the factors of 34850 and 34865 and find the biggest common factor number .

Step-1: Prime Factorization of 34850

Prime factors of 34850 are 2, 5, 17, 41. Prime factorization of 34850 in exponential form is:

34850 = 2¹ × 5² × 17¹ × 41¹

Step-2: Prime Factorization of 34865

Prime factors of 34865 are 5, 19, 367. Prime factorization of 34865 in exponential form is:

34865 = 5¹ × 19¹ × 367¹

Step-3: Factors of 34850

List of positive integer factors of 34850 that divides 34850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 41, 50, 82, 85, 170, 205, 410, 425, 697, 850, 1025, 1394, 2050, 3485, 6970, 17425

Step-4: Factors of 34865

List of positive integer factors of 34865 that divides 34850 without a remainder.

1, 5, 19, 95, 367, 1835, 6973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34850 and 34865. The biggest common factor number is the GCF number.
So the greatest common factor 34850 and 34865 is 5.

Also check out the Least Common Multiple of 34850 and 34865