What is the Greatest Common Factor of 93800 and 93814?

Greatest common factor (GCF) of 93800 and 93814 is 14.

GCF(93800,93814) = 14

We will now calculate the prime factors of 93800 and 93814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93800 and 93814.

How to find the GCF of 93800 and 93814?

We will first find the prime factorization of 93800 and 93814. After we will calculate the factors of 93800 and 93814 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 93814

Prime factors of 93814 are 2, 7, 6701. Prime factorization of 93814 in exponential form is:

93814 = 2¹ × 7¹ × 6701¹

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 93814

List of positive integer factors of 93814 that divides 93800 without a remainder.

1, 2, 7, 14, 6701, 13402, 46907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93800 and 93814. The biggest common factor number is the GCF number.
So the greatest common factor 93800 and 93814 is 14.

Also check out the Least Common Multiple of 93800 and 93814