What is the Greatest Common Factor of 93874 and 93890?

Greatest common factor (GCF) of 93874 and 93890 is 2.

GCF(93874,93890) = 2

We will now calculate the prime factors of 93874 and 93890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93874 and 93890.

How to find the GCF of 93874 and 93890?

We will first find the prime factorization of 93874 and 93890. After we will calculate the factors of 93874 and 93890 and find the biggest common factor number .

Step-1: Prime Factorization of 93874

Prime factors of 93874 are 2, 11, 17, 251. Prime factorization of 93874 in exponential form is:

93874 = 2¹ × 11¹ × 17¹ × 251¹

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 93874

List of positive integer factors of 93874 that divides 93874 without a remainder.

1, 2, 11, 17, 22, 34, 187, 251, 374, 502, 2761, 4267, 5522, 8534, 46937

Step-4: Factors of 93890

List of positive integer factors of 93890 that divides 93874 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 93874 and 93890. The biggest common factor number is the GCF number.
So the greatest common factor 93874 and 93890 is 2.

Also check out the Least Common Multiple of 93874 and 93890