What is the Greatest Common Factor of 1251 and 1271?

Greatest common factor (GCF) of 1251 and 1271 is 1.

GCF(1251,1271) = 1

We will now calculate the prime factors of 1251 and 1271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1251 and 1271.

How to find the GCF of 1251 and 1271?

We will first find the prime factorization of 1251 and 1271. After we will calculate the factors of 1251 and 1271 and find the biggest common factor number .

Step-1: Prime Factorization of 1251

Prime factors of 1251 are 3, 139. Prime factorization of 1251 in exponential form is:

1251 = 3² × 139¹

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 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1, 3, 9, 139, 417

Step-4: Factors of 1271

List of positive integer factors of 1271 that divides 1251 without a remainder.

1, 31, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1251 and 1271. The biggest common factor number is the GCF number.
So the greatest common factor 1251 and 1271 is 1.

Also check out the Least Common Multiple of 1251 and 1271