What is the Greatest Common Factor of 33522 and 33526?

Greatest common factor (GCF) of 33522 and 33526 is 2.

GCF(33522,33526) = 2

We will now calculate the prime factors of 33522 and 33526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33522 and 33526.

How to find the GCF of 33522 and 33526?

We will first find the prime factorization of 33522 and 33526. After we will calculate the factors of 33522 and 33526 and find the biggest common factor number .

Step-1: Prime Factorization of 33522

Prime factors of 33522 are 2, 3, 37, 151. Prime factorization of 33522 in exponential form is:

33522 = 2¹ × 3¹ × 37¹ × 151¹

Step-2: Prime Factorization of 33526

Prime factors of 33526 are 2, 16763. Prime factorization of 33526 in exponential form is:

33526 = 2¹ × 16763¹

Step-3: Factors of 33522

List of positive integer factors of 33522 that divides 33522 without a remainder.

1, 2, 3, 6, 37, 74, 111, 151, 222, 302, 453, 906, 5587, 11174, 16761

Step-4: Factors of 33526

List of positive integer factors of 33526 that divides 33522 without a remainder.

1, 2, 16763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33522 and 33526. The biggest common factor number is the GCF number.
So the greatest common factor 33522 and 33526 is 2.

Also check out the Least Common Multiple of 33522 and 33526