What is the Greatest Common Factor of 40242 and 40259?

Greatest common factor (GCF) of 40242 and 40259 is 1.

GCF(40242,40259) = 1

We will now calculate the prime factors of 40242 and 40259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40242 and 40259.

How to find the GCF of 40242 and 40259?

We will first find the prime factorization of 40242 and 40259. After we will calculate the factors of 40242 and 40259 and find the biggest common factor number .

Step-1: Prime Factorization of 40242

Prime factors of 40242 are 2, 3, 19, 353. Prime factorization of 40242 in exponential form is:

40242 = 2¹ × 3¹ × 19¹ × 353¹

Step-2: Prime Factorization of 40259

Prime factors of 40259 are 127, 317. Prime factorization of 40259 in exponential form is:

40259 = 127¹ × 317¹

Step-3: Factors of 40242

List of positive integer factors of 40242 that divides 40242 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 353, 706, 1059, 2118, 6707, 13414, 20121

Step-4: Factors of 40259

List of positive integer factors of 40259 that divides 40242 without a remainder.

1, 127, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40242 and 40259. The biggest common factor number is the GCF number.
So the greatest common factor 40242 and 40259 is 1.

Also check out the Least Common Multiple of 40242 and 40259