What is the Greatest Common Factor of 33242 and 33253?

Greatest common factor (GCF) of 33242 and 33253 is 11.

GCF(33242,33253) = 11

We will now calculate the prime factors of 33242 and 33253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33242 and 33253.

How to find the GCF of 33242 and 33253?

We will first find the prime factorization of 33242 and 33253. After we will calculate the factors of 33242 and 33253 and find the biggest common factor number .

Step-1: Prime Factorization of 33242

Prime factors of 33242 are 2, 11, 1511. Prime factorization of 33242 in exponential form is:

33242 = 2¹ × 11¹ × 1511¹

Step-2: Prime Factorization of 33253

Prime factors of 33253 are 11, 3023. Prime factorization of 33253 in exponential form is:

33253 = 11¹ × 3023¹

Step-3: Factors of 33242

List of positive integer factors of 33242 that divides 33242 without a remainder.

1, 2, 11, 22, 1511, 3022, 16621

Step-4: Factors of 33253

List of positive integer factors of 33253 that divides 33242 without a remainder.

1, 11, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33242 and 33253. The biggest common factor number is the GCF number.
So the greatest common factor 33242 and 33253 is 11.

Also check out the Least Common Multiple of 33242 and 33253