What is the Greatest Common Factor of 33520 and 33538?

Greatest common factor (GCF) of 33520 and 33538 is 2.

GCF(33520,33538) = 2

We will now calculate the prime factors of 33520 and 33538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33520 and 33538.

How to find the GCF of 33520 and 33538?

We will first find the prime factorization of 33520 and 33538. After we will calculate the factors of 33520 and 33538 and find the biggest common factor number .

Step-1: Prime Factorization of 33520

Prime factors of 33520 are 2, 5, 419. Prime factorization of 33520 in exponential form is:

33520 = 2⁴ × 5¹ × 419¹

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 33520

List of positive integer factors of 33520 that divides 33520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 16760

Step-4: Factors of 33538

List of positive integer factors of 33538 that divides 33520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33520 and 33538. The biggest common factor number is the GCF number.
So the greatest common factor 33520 and 33538 is 2.

Also check out the Least Common Multiple of 33520 and 33538