What is the Greatest Common Factor of 10251 and 10266?

Greatest common factor (GCF) of 10251 and 10266 is 3.

GCF(10251,10266) = 3

We will now calculate the prime factors of 10251 and 10266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10251 and 10266.

How to find the GCF of 10251 and 10266?

We will first find the prime factorization of 10251 and 10266. After we will calculate the factors of 10251 and 10266 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 10266

Prime factors of 10266 are 2, 3, 29, 59. Prime factorization of 10266 in exponential form is:

10266 = 2¹ × 3¹ × 29¹ × 59¹

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 10266

List of positive integer factors of 10266 that divides 10251 without a remainder.

1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10251 and 10266. The biggest common factor number is the GCF number.
So the greatest common factor 10251 and 10266 is 3.

Also check out the Least Common Multiple of 10251 and 10266