What is the Greatest Common Factor of 91890 and 91895?

Greatest common factor (GCF) of 91890 and 91895 is 5.

GCF(91890,91895) = 5

We will now calculate the prime factors of 91890 and 91895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91890 and 91895.

How to find the GCF of 91890 and 91895?

We will first find the prime factorization of 91890 and 91895. After we will calculate the factors of 91890 and 91895 and find the biggest common factor number .

Step-1: Prime Factorization of 91890

Prime factors of 91890 are 2, 3, 5, 1021. Prime factorization of 91890 in exponential form is:

91890 = 2¹ × 3² × 5¹ × 1021¹

Step-2: Prime Factorization of 91895

Prime factors of 91895 are 5, 18379. Prime factorization of 91895 in exponential form is:

91895 = 5¹ × 18379¹

Step-3: Factors of 91890

List of positive integer factors of 91890 that divides 91890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1021, 2042, 3063, 5105, 6126, 9189, 10210, 15315, 18378, 30630, 45945

Step-4: Factors of 91895

List of positive integer factors of 91895 that divides 91890 without a remainder.

1, 5, 18379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91890 and 91895. The biggest common factor number is the GCF number.
So the greatest common factor 91890 and 91895 is 5.

Also check out the Least Common Multiple of 91890 and 91895