GCF and LCM Calculator Logo

What is the Greatest Common Factor of 241 and 253?

Greatest common factor (GCF) of 241 and 253 is 1.

GCF(241,253) = 1

We will now calculate the prime factors of 241 and 253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 241 and 253.

GCF Calculator and
and

How to find the GCF of 241 and 253?

We will first find the prime factorization of 241 and 253. After we will calculate the factors of 241 and 253 and find the biggest common factor number .

Step-1: Prime Factorization of 241

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 2411

Step-2: Prime Factorization of 253

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

253 = 111 × 231

Step-3: Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1

Step-4: Factors of 253

List of positive integer factors of 253 that divides 241 without a remainder.

1, 11, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 241 and 253. The biggest common factor number is the GCF number.
So the greatest common factor 241 and 253 is 1.

Also check out the Least Common Multiple of 241 and 253