What is the Greatest Common Factor of 42419 and 42438?

Greatest common factor (GCF) of 42419 and 42438 is 1.

GCF(42419,42438) = 1

We will now calculate the prime factors of 42419 and 42438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42419 and 42438.

How to find the GCF of 42419 and 42438?

We will first find the prime factorization of 42419 and 42438. After we will calculate the factors of 42419 and 42438 and find the biggest common factor number .

Step-1: Prime Factorization of 42419

Prime factors of 42419 are 13, 251. Prime factorization of 42419 in exponential form is:

42419 = 13² × 251¹

Step-2: Prime Factorization of 42438

Prime factors of 42438 are 2, 3, 11, 643. Prime factorization of 42438 in exponential form is:

42438 = 2¹ × 3¹ × 11¹ × 643¹

Step-3: Factors of 42419

List of positive integer factors of 42419 that divides 42419 without a remainder.

1, 13, 169, 251, 3263

Step-4: Factors of 42438

List of positive integer factors of 42438 that divides 42419 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 643, 1286, 1929, 3858, 7073, 14146, 21219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42419 and 42438. The biggest common factor number is the GCF number.
So the greatest common factor 42419 and 42438 is 1.

Also check out the Least Common Multiple of 42419 and 42438