What is the Greatest Common Factor of 10251 and 10268?

Greatest common factor (GCF) of 10251 and 10268 is 17.

GCF(10251,10268) = 17

We will now calculate the prime factors of 10251 and 10268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10251 and 10268.

How to find the GCF of 10251 and 10268?

We will first find the prime factorization of 10251 and 10268. After we will calculate the factors of 10251 and 10268 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 10268

Prime factors of 10268 are 2, 17, 151. Prime factorization of 10268 in exponential form is:

10268 = 2² × 17¹ × 151¹

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 10268

List of positive integer factors of 10268 that divides 10251 without a remainder.

1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10251 and 10268. The biggest common factor number is the GCF number.
So the greatest common factor 10251 and 10268 is 17.

Also check out the Least Common Multiple of 10251 and 10268