What is the Greatest Common Factor of 34845 and 34865?

Greatest common factor (GCF) of 34845 and 34865 is 5.

GCF(34845,34865) = 5

We will now calculate the prime factors of 34845 and 34865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34845 and 34865.

How to find the GCF of 34845 and 34865?

We will first find the prime factorization of 34845 and 34865. After we will calculate the factors of 34845 and 34865 and find the biggest common factor number .

Step-1: Prime Factorization of 34845

Prime factors of 34845 are 3, 5, 23, 101. Prime factorization of 34845 in exponential form is:

34845 = 3¹ × 5¹ × 23¹ × 101¹

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 34845

List of positive integer factors of 34845 that divides 34845 without a remainder.

1, 3, 5, 15, 23, 69, 101, 115, 303, 345, 505, 1515, 2323, 6969, 11615

Step-4: Factors of 34865

List of positive integer factors of 34865 that divides 34845 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34845 and 34865. The biggest common factor number is the GCF number.
So the greatest common factor 34845 and 34865 is 5.

Also check out the Least Common Multiple of 34845 and 34865