What is the Greatest Common Factor of 33121 and 33132?

Greatest common factor (GCF) of 33121 and 33132 is 11.

GCF(33121,33132) = 11

We will now calculate the prime factors of 33121 and 33132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33121 and 33132.

How to find the GCF of 33121 and 33132?

We will first find the prime factorization of 33121 and 33132. After we will calculate the factors of 33121 and 33132 and find the biggest common factor number .

Step-1: Prime Factorization of 33121

Prime factors of 33121 are 11, 3011. Prime factorization of 33121 in exponential form is:

33121 = 11¹ × 3011¹

Step-2: Prime Factorization of 33132

Prime factors of 33132 are 2, 3, 11, 251. Prime factorization of 33132 in exponential form is:

33132 = 2² × 3¹ × 11¹ × 251¹

Step-3: Factors of 33121

List of positive integer factors of 33121 that divides 33121 without a remainder.

1, 11, 3011

Step-4: Factors of 33132

List of positive integer factors of 33132 that divides 33121 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 251, 502, 753, 1004, 1506, 2761, 3012, 5522, 8283, 11044, 16566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33121 and 33132. The biggest common factor number is the GCF number.
So the greatest common factor 33121 and 33132 is 11.

Also check out the Least Common Multiple of 33121 and 33132