What is the Greatest Common Factor of 42538 and 42556?

Greatest common factor (GCF) of 42538 and 42556 is 2.

GCF(42538,42556) = 2

We will now calculate the prime factors of 42538 and 42556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42538 and 42556.

How to find the GCF of 42538 and 42556?

We will first find the prime factorization of 42538 and 42556. After we will calculate the factors of 42538 and 42556 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 42556

Prime factors of 42556 are 2, 10639. Prime factorization of 42556 in exponential form is:

42556 = 2² × 10639¹

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 42556

List of positive integer factors of 42556 that divides 42538 without a remainder.

1, 2, 4, 10639, 21278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42538 and 42556. The biggest common factor number is the GCF number.
So the greatest common factor 42538 and 42556 is 2.

Also check out the Least Common Multiple of 42538 and 42556