What is the Greatest Common Factor of 10242 and 10251?

Greatest common factor (GCF) of 10242 and 10251 is 9.

GCF(10242,10251) = 9

We will now calculate the prime factors of 10242 and 10251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10242 and 10251.

How to find the GCF of 10242 and 10251?

We will first find the prime factorization of 10242 and 10251. After we will calculate the factors of 10242 and 10251 and find the biggest common factor number .

Step-1: Prime Factorization of 10242

Prime factors of 10242 are 2, 3, 569. Prime factorization of 10242 in exponential form is:

10242 = 2¹ × 3² × 569¹

Step-2: 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-3: Factors of 10242

List of positive integer factors of 10242 that divides 10242 without a remainder.

1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121

Step-4: Factors of 10251

List of positive integer factors of 10251 that divides 10242 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10242 and 10251. The biggest common factor number is the GCF number.
So the greatest common factor 10242 and 10251 is 9.

Also check out the Least Common Multiple of 10242 and 10251