What is the Greatest Common Factor of 10275 and 10284?

Greatest common factor (GCF) of 10275 and 10284 is 3.

GCF(10275,10284) = 3

We will now calculate the prime factors of 10275 and 10284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10275 and 10284.

How to find the GCF of 10275 and 10284?

We will first find the prime factorization of 10275 and 10284. After we will calculate the factors of 10275 and 10284 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 10284

Prime factors of 10284 are 2, 3, 857. Prime factorization of 10284 in exponential form is:

10284 = 2² × 3¹ × 857¹

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 10284

List of positive integer factors of 10284 that divides 10275 without a remainder.

1, 2, 3, 4, 6, 12, 857, 1714, 2571, 3428, 5142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10275 and 10284. The biggest common factor number is the GCF number.
So the greatest common factor 10275 and 10284 is 3.

Also check out the Least Common Multiple of 10275 and 10284