What is the Greatest Common Factor of 93870 and 93884?

Greatest common factor (GCF) of 93870 and 93884 is 14.

GCF(93870,93884) = 14

We will now calculate the prime factors of 93870 and 93884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93870 and 93884.

How to find the GCF of 93870 and 93884?

We will first find the prime factorization of 93870 and 93884. After we will calculate the factors of 93870 and 93884 and find the biggest common factor number .

Step-1: Prime Factorization of 93870

Prime factors of 93870 are 2, 3, 5, 7, 149. Prime factorization of 93870 in exponential form is:

93870 = 2¹ × 3² × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 93884

Prime factors of 93884 are 2, 7, 479. Prime factorization of 93884 in exponential form is:

93884 = 2² × 7² × 479¹

Step-3: Factors of 93870

List of positive integer factors of 93870 that divides 93870 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 149, 210, 298, 315, 447, 630, 745, 894, 1043, 1341, 1490, 2086, 2235, 2682, 3129, 4470, 5215, 6258, 6705, 9387, 10430, 13410, 15645, 18774, 31290, 46935

Step-4: Factors of 93884

List of positive integer factors of 93884 that divides 93870 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 479, 958, 1916, 3353, 6706, 13412, 23471, 46942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93870 and 93884. The biggest common factor number is the GCF number.
So the greatest common factor 93870 and 93884 is 14.

Also check out the Least Common Multiple of 93870 and 93884