What is the Greatest Common Factor of 25205 and 25223?

Greatest common factor (GCF) of 25205 and 25223 is 1.

GCF(25205,25223) = 1

We will now calculate the prime factors of 25205 and 25223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25205 and 25223.

How to find the GCF of 25205 and 25223?

We will first find the prime factorization of 25205 and 25223. After we will calculate the factors of 25205 and 25223 and find the biggest common factor number .

Step-1: Prime Factorization of 25205

Prime factors of 25205 are 5, 71. Prime factorization of 25205 in exponential form is:

25205 = 5¹ × 71²

Step-2: Prime Factorization of 25223

Prime factors of 25223 are 11, 2293. Prime factorization of 25223 in exponential form is:

25223 = 11¹ × 2293¹

Step-3: Factors of 25205

List of positive integer factors of 25205 that divides 25205 without a remainder.

1, 5, 71, 355, 5041

Step-4: Factors of 25223

List of positive integer factors of 25223 that divides 25205 without a remainder.

1, 11, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25205 and 25223. The biggest common factor number is the GCF number.
So the greatest common factor 25205 and 25223 is 1.

Also check out the Least Common Multiple of 25205 and 25223