What is the Greatest Common Factor of 33538 and 33558?

Greatest common factor (GCF) of 33538 and 33558 is 2.

GCF(33538,33558) = 2

We will now calculate the prime factors of 33538 and 33558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33538 and 33558.

How to find the GCF of 33538 and 33558?

We will first find the prime factorization of 33538 and 33558. After we will calculate the factors of 33538 and 33558 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 33558

Prime factors of 33558 are 2, 3, 7, 17, 47. Prime factorization of 33558 in exponential form is:

33558 = 2¹ × 3¹ × 7¹ × 17¹ × 47¹

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 33558

List of positive integer factors of 33558 that divides 33538 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 47, 51, 94, 102, 119, 141, 238, 282, 329, 357, 658, 714, 799, 987, 1598, 1974, 2397, 4794, 5593, 11186, 16779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33538 and 33558. The biggest common factor number is the GCF number.
So the greatest common factor 33538 and 33558 is 2.

Also check out the Least Common Multiple of 33538 and 33558