What is the Greatest Common Factor of 85885 and 85890?

Greatest common factor (GCF) of 85885 and 85890 is 5.

GCF(85885,85890) = 5

We will now calculate the prime factors of 85885 and 85890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85885 and 85890.

How to find the GCF of 85885 and 85890?

We will first find the prime factorization of 85885 and 85890. After we will calculate the factors of 85885 and 85890 and find the biggest common factor number .

Step-1: Prime Factorization of 85885

Prime factors of 85885 are 5, 89, 193. Prime factorization of 85885 in exponential form is:

85885 = 5¹ × 89¹ × 193¹

Step-2: Prime Factorization of 85890

Prime factors of 85890 are 2, 3, 5, 7, 409. Prime factorization of 85890 in exponential form is:

85890 = 2¹ × 3¹ × 5¹ × 7¹ × 409¹

Step-3: Factors of 85885

List of positive integer factors of 85885 that divides 85885 without a remainder.

1, 5, 89, 193, 445, 965, 17177

Step-4: Factors of 85890

List of positive integer factors of 85890 that divides 85885 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 409, 818, 1227, 2045, 2454, 2863, 4090, 5726, 6135, 8589, 12270, 14315, 17178, 28630, 42945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85885 and 85890. The biggest common factor number is the GCF number.
So the greatest common factor 85885 and 85890 is 5.

Also check out the Least Common Multiple of 85885 and 85890