What is the Greatest Common Factor of 10242 and 10254?

Greatest common factor (GCF) of 10242 and 10254 is 6.

GCF(10242,10254) = 6

We will now calculate the prime factors of 10242 and 10254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10242 and 10254.

How to find the GCF of 10242 and 10254?

We will first find the prime factorization of 10242 and 10254. After we will calculate the factors of 10242 and 10254 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 10254

Prime factors of 10254 are 2, 3, 1709. Prime factorization of 10254 in exponential form is:

10254 = 2¹ × 3¹ × 1709¹

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 10254

List of positive integer factors of 10254 that divides 10242 without a remainder.

1, 2, 3, 6, 1709, 3418, 5127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10242 and 10254. The biggest common factor number is the GCF number.
So the greatest common factor 10242 and 10254 is 6.

Also check out the Least Common Multiple of 10242 and 10254