What is the Greatest Common Factor of 42538 and 42542?

Greatest common factor (GCF) of 42538 and 42542 is 2.

GCF(42538,42542) = 2

We will now calculate the prime factors of 42538 and 42542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42538 and 42542.

How to find the GCF of 42538 and 42542?

We will first find the prime factorization of 42538 and 42542. After we will calculate the factors of 42538 and 42542 and find the biggest common factor number .

Step-1: Prime Factorization of 42538

Prime factors of 42538 are 2, 21269. Prime factorization of 42538 in exponential form is:

42538 = 2¹ × 21269¹

Step-2: Prime Factorization of 42542

Prime factors of 42542 are 2, 89, 239. Prime factorization of 42542 in exponential form is:

42542 = 2¹ × 89¹ × 239¹

Step-3: Factors of 42538

List of positive integer factors of 42538 that divides 42538 without a remainder.

1, 2, 21269

Step-4: Factors of 42542

List of positive integer factors of 42542 that divides 42538 without a remainder.

1, 2, 89, 178, 239, 478, 21271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42538 and 42542. The biggest common factor number is the GCF number.
So the greatest common factor 42538 and 42542 is 2.

Also check out the Least Common Multiple of 42538 and 42542