What is the Greatest Common Factor of 42393 and 42406?

Greatest common factor (GCF) of 42393 and 42406 is 13.

GCF(42393,42406) = 13

We will now calculate the prime factors of 42393 and 42406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42393 and 42406.

How to find the GCF of 42393 and 42406?

We will first find the prime factorization of 42393 and 42406. After we will calculate the factors of 42393 and 42406 and find the biggest common factor number .

Step-1: Prime Factorization of 42393

Prime factors of 42393 are 3, 13, 1087. Prime factorization of 42393 in exponential form is:

42393 = 3¹ × 13¹ × 1087¹

Step-2: 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-3: Factors of 42393

List of positive integer factors of 42393 that divides 42393 without a remainder.

1, 3, 13, 39, 1087, 3261, 14131

Step-4: Factors of 42406

List of positive integer factors of 42406 that divides 42393 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42393 and 42406. The biggest common factor number is the GCF number.
So the greatest common factor 42393 and 42406 is 13.

Also check out the Least Common Multiple of 42393 and 42406