What is the Greatest Common Factor of 25208 and 25223?

Greatest common factor (GCF) of 25208 and 25223 is 1.

GCF(25208,25223) = 1

We will now calculate the prime factors of 25208 and 25223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25208 and 25223.

How to find the GCF of 25208 and 25223?

We will first find the prime factorization of 25208 and 25223. After we will calculate the factors of 25208 and 25223 and find the biggest common factor number .

Step-1: Prime Factorization of 25208

Prime factors of 25208 are 2, 23, 137. Prime factorization of 25208 in exponential form is:

25208 = 2³ × 23¹ × 137¹

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 25208

List of positive integer factors of 25208 that divides 25208 without a remainder.

1, 2, 4, 8, 23, 46, 92, 137, 184, 274, 548, 1096, 3151, 6302, 12604

Step-4: Factors of 25223

List of positive integer factors of 25223 that divides 25208 without a remainder.

1, 11, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25208 and 25223. The biggest common factor number is the GCF number.
So the greatest common factor 25208 and 25223 is 1.

Also check out the Least Common Multiple of 25208 and 25223