What is the Greatest Common Factor of 33538 and 33542?

Greatest common factor (GCF) of 33538 and 33542 is 2.

GCF(33538,33542) = 2

We will now calculate the prime factors of 33538 and 33542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33538 and 33542.

How to find the GCF of 33538 and 33542?

We will first find the prime factorization of 33538 and 33542. After we will calculate the factors of 33538 and 33542 and find the biggest common factor number .

Step-1: Prime Factorization of 33538

Prime factors of 33538 are 2, 41, 409. Prime factorization of 33538 in exponential form is:

33538 = 2¹ × 41¹ × 409¹

Step-2: Prime Factorization of 33542

Prime factors of 33542 are 2, 31, 541. Prime factorization of 33542 in exponential form is:

33542 = 2¹ × 31¹ × 541¹

Step-3: Factors of 33538

List of positive integer factors of 33538 that divides 33538 without a remainder.

1, 2, 41, 82, 409, 818, 16769

Step-4: Factors of 33542

List of positive integer factors of 33542 that divides 33538 without a remainder.

1, 2, 31, 62, 541, 1082, 16771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33538 and 33542. The biggest common factor number is the GCF number.
So the greatest common factor 33538 and 33542 is 2.

Also check out the Least Common Multiple of 33538 and 33542