What is the Greatest Common Factor of 93800 and 93810?

Greatest common factor (GCF) of 93800 and 93810 is 10.

GCF(93800,93810) = 10

We will now calculate the prime factors of 93800 and 93810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93800 and 93810.

How to find the GCF of 93800 and 93810?

We will first find the prime factorization of 93800 and 93810. After we will calculate the factors of 93800 and 93810 and find the biggest common factor number .

Step-1: Prime Factorization of 93800

Prime factors of 93800 are 2, 5, 7, 67. Prime factorization of 93800 in exponential form is:

93800 = 2³ × 5² × 7¹ × 67¹

Step-2: Prime Factorization of 93810

Prime factors of 93810 are 2, 3, 5, 53, 59. Prime factorization of 93810 in exponential form is:

93810 = 2¹ × 3¹ × 5¹ × 53¹ × 59¹

Step-3: Factors of 93800

List of positive integer factors of 93800 that divides 93800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 67, 70, 100, 134, 140, 175, 200, 268, 280, 335, 350, 469, 536, 670, 700, 938, 1340, 1400, 1675, 1876, 2345, 2680, 3350, 3752, 4690, 6700, 9380, 11725, 13400, 18760, 23450, 46900

Step-4: Factors of 93810

List of positive integer factors of 93810 that divides 93800 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 59, 106, 118, 159, 177, 265, 295, 318, 354, 530, 590, 795, 885, 1590, 1770, 3127, 6254, 9381, 15635, 18762, 31270, 46905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93800 and 93810. The biggest common factor number is the GCF number.
So the greatest common factor 93800 and 93810 is 10.

Also check out the Least Common Multiple of 93800 and 93810