What is the Greatest Common Factor of 93730 and 93750?

Greatest common factor (GCF) of 93730 and 93750 is 10.

GCF(93730,93750) = 10

We will now calculate the prime factors of 93730 and 93750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93730 and 93750.

How to find the GCF of 93730 and 93750?

We will first find the prime factorization of 93730 and 93750. After we will calculate the factors of 93730 and 93750 and find the biggest common factor number .

Step-1: Prime Factorization of 93730

Prime factors of 93730 are 2, 5, 7, 13, 103. Prime factorization of 93730 in exponential form is:

93730 = 2¹ × 5¹ × 7¹ × 13¹ × 103¹

Step-2: Prime Factorization of 93750

Prime factors of 93750 are 2, 3, 5. Prime factorization of 93750 in exponential form is:

93750 = 2¹ × 3¹ × 5⁶

Step-3: Factors of 93730

List of positive integer factors of 93730 that divides 93730 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 103, 130, 182, 206, 455, 515, 721, 910, 1030, 1339, 1442, 2678, 3605, 6695, 7210, 9373, 13390, 18746, 46865

Step-4: Factors of 93750

List of positive integer factors of 93750 that divides 93730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3125, 3750, 6250, 9375, 15625, 18750, 31250, 46875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93730 and 93750. The biggest common factor number is the GCF number.
So the greatest common factor 93730 and 93750 is 10.

Also check out the Least Common Multiple of 93730 and 93750