What is the Greatest Common Factor of 93850 and 93870?

Greatest common factor (GCF) of 93850 and 93870 is 10.

GCF(93850,93870) = 10

We will now calculate the prime factors of 93850 and 93870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93850 and 93870.

How to find the GCF of 93850 and 93870?

We will first find the prime factorization of 93850 and 93870. After we will calculate the factors of 93850 and 93870 and find the biggest common factor number .

Step-1: Prime Factorization of 93850

Prime factors of 93850 are 2, 5, 1877. Prime factorization of 93850 in exponential form is:

93850 = 2¹ × 5² × 1877¹

Step-2: 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-3: Factors of 93850

List of positive integer factors of 93850 that divides 93850 without a remainder.

1, 2, 5, 10, 25, 50, 1877, 3754, 9385, 18770, 46925

Step-4: Factors of 93870

List of positive integer factors of 93870 that divides 93850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93850 and 93870. The biggest common factor number is the GCF number.
So the greatest common factor 93850 and 93870 is 10.

Also check out the Least Common Multiple of 93850 and 93870