What is the Greatest Common Factor of 93870 and 93874?

Greatest common factor (GCF) of 93870 and 93874 is 2.

GCF(93870,93874) = 2

We will now calculate the prime factors of 93870 and 93874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93870 and 93874.

How to find the GCF of 93870 and 93874?

We will first find the prime factorization of 93870 and 93874. After we will calculate the factors of 93870 and 93874 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 93874

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

93874 = 2¹ × 11¹ × 17¹ × 251¹

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 93874

List of positive integer factors of 93874 that divides 93870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93870 and 93874. The biggest common factor number is the GCF number.
So the greatest common factor 93870 and 93874 is 2.

Also check out the Least Common Multiple of 93870 and 93874