What is the Greatest Common Factor of 253 and 257?

Greatest common factor (GCF) of 253 and 257 is 1.

GCF(253,257) = 1

We will now calculate the prime factors of 253 and 257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 253 and 257.

How to find the GCF of 253 and 257?

We will first find the prime factorization of 253 and 257. After we will calculate the factors of 253 and 257 and find the biggest common factor number .

Step-1: Prime Factorization of 253

Prime factors of 253 are 11, 23. Prime factorization of 253 in exponential form is:

253 = 11¹ × 23¹

Step-2: Prime Factorization of 257

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 257¹

Step-3: Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23

Step-4: Factors of 257

List of positive integer factors of 257 that divides 253 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 253 and 257. The biggest common factor number is the GCF number.
So the greatest common factor 253 and 257 is 1.

Also check out the Least Common Multiple of 253 and 257