What is the Greatest Common Factor of 1251 and 1259?

Greatest common factor (GCF) of 1251 and 1259 is 1.

GCF(1251,1259) = 1

We will now calculate the prime factors of 1251 and 1259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1251 and 1259.

How to find the GCF of 1251 and 1259?

We will first find the prime factorization of 1251 and 1259. After we will calculate the factors of 1251 and 1259 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 1259

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 1259¹

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 1259

List of positive integer factors of 1259 that divides 1251 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1251 and 1259. The biggest common factor number is the GCF number.
So the greatest common factor 1251 and 1259 is 1.

Also check out the Least Common Multiple of 1251 and 1259