What is the Greatest Common Factor of 10251 and 10259?

Greatest common factor (GCF) of 10251 and 10259 is 1.

GCF(10251,10259) = 1

We will now calculate the prime factors of 10251 and 10259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10251 and 10259.

How to find the GCF of 10251 and 10259?

We will first find the prime factorization of 10251 and 10259. After we will calculate the factors of 10251 and 10259 and find the biggest common factor number .

Step-1: Prime Factorization of 10251

Prime factors of 10251 are 3, 17, 67. Prime factorization of 10251 in exponential form is:

10251 = 3² × 17¹ × 67¹

Step-2: Prime Factorization of 10259

Prime factors of 10259 are 10259. Prime factorization of 10259 in exponential form is:

10259 = 10259¹

Step-3: Factors of 10251

List of positive integer factors of 10251 that divides 10251 without a remainder.

1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417

Step-4: Factors of 10259

List of positive integer factors of 10259 that divides 10251 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10251 and 10259. The biggest common factor number is the GCF number.
So the greatest common factor 10251 and 10259 is 1.

Also check out the Least Common Multiple of 10251 and 10259