What is the Greatest Common Factor of 10275 and 10290?

Greatest common factor (GCF) of 10275 and 10290 is 15.

GCF(10275,10290) = 15

We will now calculate the prime factors of 10275 and 10290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10275 and 10290.

How to find the GCF of 10275 and 10290?

We will first find the prime factorization of 10275 and 10290. After we will calculate the factors of 10275 and 10290 and find the biggest common factor number .

Step-1: Prime Factorization of 10275

Prime factors of 10275 are 3, 5, 137. Prime factorization of 10275 in exponential form is:

10275 = 3¹ × 5² × 137¹

Step-2: Prime Factorization of 10290

Prime factors of 10290 are 2, 3, 5, 7. Prime factorization of 10290 in exponential form is:

10290 = 2¹ × 3¹ × 5¹ × 7³

Step-3: Factors of 10275

List of positive integer factors of 10275 that divides 10275 without a remainder.

1, 3, 5, 15, 25, 75, 137, 411, 685, 2055, 3425

Step-4: Factors of 10290

List of positive integer factors of 10290 that divides 10275 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 343, 490, 686, 735, 1029, 1470, 1715, 2058, 3430, 5145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10275 and 10290. The biggest common factor number is the GCF number.
So the greatest common factor 10275 and 10290 is 15.

Also check out the Least Common Multiple of 10275 and 10290