What is the Greatest Common Factor of 10209 and 10225?

Greatest common factor (GCF) of 10209 and 10225 is 1.

GCF(10209,10225) = 1

We will now calculate the prime factors of 10209 and 10225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10209 and 10225.

How to find the GCF of 10209 and 10225?

We will first find the prime factorization of 10209 and 10225. After we will calculate the factors of 10209 and 10225 and find the biggest common factor number .

Step-1: Prime Factorization of 10209

Prime factors of 10209 are 3, 41, 83. Prime factorization of 10209 in exponential form is:

10209 = 3¹ × 41¹ × 83¹

Step-2: Prime Factorization of 10225

Prime factors of 10225 are 5, 409. Prime factorization of 10225 in exponential form is:

10225 = 5² × 409¹

Step-3: Factors of 10209

List of positive integer factors of 10209 that divides 10209 without a remainder.

1, 3, 41, 83, 123, 249, 3403

Step-4: Factors of 10225

List of positive integer factors of 10225 that divides 10209 without a remainder.

1, 5, 25, 409, 2045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10209 and 10225. The biggest common factor number is the GCF number.
So the greatest common factor 10209 and 10225 is 1.

Also check out the Least Common Multiple of 10209 and 10225