What is the Greatest Common Factor of 33534 and 33538?

Greatest common factor (GCF) of 33534 and 33538 is 2.

GCF(33534,33538) = 2

We will now calculate the prime factors of 33534 and 33538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33534 and 33538.

How to find the GCF of 33534 and 33538?

We will first find the prime factorization of 33534 and 33538. After we will calculate the factors of 33534 and 33538 and find the biggest common factor number .

Step-1: Prime Factorization of 33534

Prime factors of 33534 are 2, 3, 23. Prime factorization of 33534 in exponential form is:

33534 = 2¹ × 3⁶ × 23¹

Step-2: 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-3: Factors of 33534

List of positive integer factors of 33534 that divides 33534 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 243, 414, 486, 621, 729, 1242, 1458, 1863, 3726, 5589, 11178, 16767

Step-4: Factors of 33538

List of positive integer factors of 33538 that divides 33534 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33534 and 33538. The biggest common factor number is the GCF number.
So the greatest common factor 33534 and 33538 is 2.

Also check out the Least Common Multiple of 33534 and 33538