What is the Greatest Common Factor of 10242 and 10257?

Greatest common factor (GCF) of 10242 and 10257 is 3.

GCF(10242,10257) = 3

We will now calculate the prime factors of 10242 and 10257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10242 and 10257.

How to find the GCF of 10242 and 10257?

We will first find the prime factorization of 10242 and 10257. After we will calculate the factors of 10242 and 10257 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 10257

Prime factors of 10257 are 3, 13, 263. Prime factorization of 10257 in exponential form is:

10257 = 3¹ × 13¹ × 263¹

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 10257

List of positive integer factors of 10257 that divides 10242 without a remainder.

1, 3, 13, 39, 263, 789, 3419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10242 and 10257. The biggest common factor number is the GCF number.
So the greatest common factor 10242 and 10257 is 3.

Also check out the Least Common Multiple of 10242 and 10257