What is the Greatest Common Factor of 42406 and 42426?

Greatest common factor (GCF) of 42406 and 42426 is 2.

GCF(42406,42426) = 2

We will now calculate the prime factors of 42406 and 42426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42406 and 42426.

How to find the GCF of 42406 and 42426?

We will first find the prime factorization of 42406 and 42426. After we will calculate the factors of 42406 and 42426 and find the biggest common factor number .

Step-1: Prime Factorization of 42406

Prime factors of 42406 are 2, 7, 13, 233. Prime factorization of 42406 in exponential form is:

42406 = 2¹ × 7¹ × 13¹ × 233¹

Step-2: Prime Factorization of 42426

Prime factors of 42426 are 2, 3, 2357. Prime factorization of 42426 in exponential form is:

42426 = 2¹ × 3² × 2357¹

Step-3: Factors of 42406

List of positive integer factors of 42406 that divides 42406 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 233, 466, 1631, 3029, 3262, 6058, 21203

Step-4: Factors of 42426

List of positive integer factors of 42426 that divides 42406 without a remainder.

1, 2, 3, 6, 9, 18, 2357, 4714, 7071, 14142, 21213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42406 and 42426. The biggest common factor number is the GCF number.
So the greatest common factor 42406 and 42426 is 2.

Also check out the Least Common Multiple of 42406 and 42426