What is the Greatest Common Factor of 10251 and 10263?

Greatest common factor (GCF) of 10251 and 10263 is 3.

GCF(10251,10263) = 3

We will now calculate the prime factors of 10251 and 10263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10251 and 10263.

How to find the GCF of 10251 and 10263?

We will first find the prime factorization of 10251 and 10263. After we will calculate the factors of 10251 and 10263 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 10263

Prime factors of 10263 are 3, 11, 311. Prime factorization of 10263 in exponential form is:

10263 = 3¹ × 11¹ × 311¹

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 10263

List of positive integer factors of 10263 that divides 10251 without a remainder.

1, 3, 11, 33, 311, 933, 3421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10251 and 10263. The biggest common factor number is the GCF number.
So the greatest common factor 10251 and 10263 is 3.

Also check out the Least Common Multiple of 10251 and 10263