What is the Greatest Common Factor of 33572 and 33578?

Greatest common factor (GCF) of 33572 and 33578 is 2.

GCF(33572,33578) = 2

We will now calculate the prime factors of 33572 and 33578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33572 and 33578.

How to find the GCF of 33572 and 33578?

We will first find the prime factorization of 33572 and 33578. After we will calculate the factors of 33572 and 33578 and find the biggest common factor number .

Step-1: Prime Factorization of 33572

Prime factors of 33572 are 2, 7, 11, 109. Prime factorization of 33572 in exponential form is:

33572 = 2² × 7¹ × 11¹ × 109¹

Step-2: Prime Factorization of 33578

Prime factors of 33578 are 2, 103, 163. Prime factorization of 33578 in exponential form is:

33578 = 2¹ × 103¹ × 163¹

Step-3: Factors of 33572

List of positive integer factors of 33572 that divides 33572 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 109, 154, 218, 308, 436, 763, 1199, 1526, 2398, 3052, 4796, 8393, 16786

Step-4: Factors of 33578

List of positive integer factors of 33578 that divides 33572 without a remainder.

1, 2, 103, 163, 206, 326, 16789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33572 and 33578. The biggest common factor number is the GCF number.
So the greatest common factor 33572 and 33578 is 2.

Also check out the Least Common Multiple of 33572 and 33578