What is the Greatest Common Factor of 10185 and 10203?

Greatest common factor (GCF) of 10185 and 10203 is 3.

GCF(10185,10203) = 3

We will now calculate the prime factors of 10185 and 10203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10185 and 10203.

How to find the GCF of 10185 and 10203?

We will first find the prime factorization of 10185 and 10203. After we will calculate the factors of 10185 and 10203 and find the biggest common factor number .

Step-1: Prime Factorization of 10185

Prime factors of 10185 are 3, 5, 7, 97. Prime factorization of 10185 in exponential form is:

10185 = 3¹ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 10203

Prime factors of 10203 are 3, 19, 179. Prime factorization of 10203 in exponential form is:

10203 = 3¹ × 19¹ × 179¹

Step-3: Factors of 10185

List of positive integer factors of 10185 that divides 10185 without a remainder.

1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395

Step-4: Factors of 10203

List of positive integer factors of 10203 that divides 10185 without a remainder.

1, 3, 19, 57, 179, 537, 3401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10185 and 10203. The biggest common factor number is the GCF number.
So the greatest common factor 10185 and 10203 is 3.

Also check out the Least Common Multiple of 10185 and 10203