What is the Greatest Common Factor of 93880 and 93885?

Greatest common factor (GCF) of 93880 and 93885 is 5.

GCF(93880,93885) = 5

We will now calculate the prime factors of 93880 and 93885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93880 and 93885.

How to find the GCF of 93880 and 93885?

We will first find the prime factorization of 93880 and 93885. After we will calculate the factors of 93880 and 93885 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 93885

Prime factors of 93885 are 3, 5, 11, 569. Prime factorization of 93885 in exponential form is:

93885 = 3¹ × 5¹ × 11¹ × 569¹

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 93885

List of positive integer factors of 93885 that divides 93880 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 569, 1707, 2845, 6259, 8535, 18777, 31295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93880 and 93885. The biggest common factor number is the GCF number.
So the greatest common factor 93880 and 93885 is 5.

Also check out the Least Common Multiple of 93880 and 93885