What is the Greatest Common Factor of 42845 and 42855?

Greatest common factor (GCF) of 42845 and 42855 is 5.

GCF(42845,42855) = 5

We will now calculate the prime factors of 42845 and 42855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42845 and 42855.

How to find the GCF of 42845 and 42855?

We will first find the prime factorization of 42845 and 42855. After we will calculate the factors of 42845 and 42855 and find the biggest common factor number .

Step-1: Prime Factorization of 42845

Prime factors of 42845 are 5, 11, 19, 41. Prime factorization of 42845 in exponential form is:

42845 = 5¹ × 11¹ × 19¹ × 41¹

Step-2: Prime Factorization of 42855

Prime factors of 42855 are 3, 5, 2857. Prime factorization of 42855 in exponential form is:

42855 = 3¹ × 5¹ × 2857¹

Step-3: Factors of 42845

List of positive integer factors of 42845 that divides 42845 without a remainder.

1, 5, 11, 19, 41, 55, 95, 205, 209, 451, 779, 1045, 2255, 3895, 8569

Step-4: Factors of 42855

List of positive integer factors of 42855 that divides 42845 without a remainder.

1, 3, 5, 15, 2857, 8571, 14285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42845 and 42855. The biggest common factor number is the GCF number.
So the greatest common factor 42845 and 42855 is 5.

Also check out the Least Common Multiple of 42845 and 42855