What is the Greatest Common Factor of 1258 and 1271?

Greatest common factor (GCF) of 1258 and 1271 is 1.

GCF(1258,1271) = 1

We will now calculate the prime factors of 1258 and 1271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1258 and 1271.

How to find the GCF of 1258 and 1271?

We will first find the prime factorization of 1258 and 1271. After we will calculate the factors of 1258 and 1271 and find the biggest common factor number .

Step-1: Prime Factorization of 1258

Prime factors of 1258 are 2, 17, 37. Prime factorization of 1258 in exponential form is:

1258 = 2¹ × 17¹ × 37¹

Step-2: Prime Factorization of 1271

Prime factors of 1271 are 31, 41. Prime factorization of 1271 in exponential form is:

1271 = 31¹ × 41¹

Step-3: Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1, 2, 17, 34, 37, 74, 629

Step-4: Factors of 1271

List of positive integer factors of 1271 that divides 1258 without a remainder.

1, 31, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1258 and 1271. The biggest common factor number is the GCF number.
So the greatest common factor 1258 and 1271 is 1.

Also check out the Least Common Multiple of 1258 and 1271