What is the Greatest Common Factor of 93880 and 93890?

Greatest common factor (GCF) of 93880 and 93890 is 10.

GCF(93880,93890) = 10

We will now calculate the prime factors of 93880 and 93890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93880 and 93890.

How to find the GCF of 93880 and 93890?

We will first find the prime factorization of 93880 and 93890. After we will calculate the factors of 93880 and 93890 and find the biggest common factor number .

Step-1: Prime Factorization of 93880

Prime factors of 93880 are 2, 5, 2347. Prime factorization of 93880 in exponential form is:

93880 = 2³ × 5¹ × 2347¹

Step-2: Prime Factorization of 93890

Prime factors of 93890 are 2, 5, 41, 229. Prime factorization of 93890 in exponential form is:

93890 = 2¹ × 5¹ × 41¹ × 229¹

Step-3: Factors of 93880

List of positive integer factors of 93880 that divides 93880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2347, 4694, 9388, 11735, 18776, 23470, 46940

Step-4: Factors of 93890

List of positive integer factors of 93890 that divides 93880 without a remainder.

1, 2, 5, 10, 41, 82, 205, 229, 410, 458, 1145, 2290, 9389, 18778, 46945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93880 and 93890. The biggest common factor number is the GCF number.
So the greatest common factor 93880 and 93890 is 10.

Also check out the Least Common Multiple of 93880 and 93890