What is the Greatest Common Factor of 238 and 251?

Greatest common factor (GCF) of 238 and 251 is 1.

GCF(238,251) = 1

We will now calculate the prime factors of 238 and 251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 238 and 251.

How to find the GCF of 238 and 251?

We will first find the prime factorization of 238 and 251. After we will calculate the factors of 238 and 251 and find the biggest common factor number .

Step-1: Prime Factorization of 238

Prime factors of 238 are 2, 7, 17. Prime factorization of 238 in exponential form is:

238 = 2¹ × 7¹ × 17¹

Step-2: Prime Factorization of 251

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 251¹

Step-3: Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119

Step-4: Factors of 251

List of positive integer factors of 251 that divides 238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 238 and 251. The biggest common factor number is the GCF number.
So the greatest common factor 238 and 251 is 1.

Also check out the Least Common Multiple of 238 and 251