What is the Greatest Common Factor of 33242 and 33251?

Greatest common factor (GCF) of 33242 and 33251 is 1.

GCF(33242,33251) = 1

We will now calculate the prime factors of 33242 and 33251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33242 and 33251.

How to find the GCF of 33242 and 33251?

We will first find the prime factorization of 33242 and 33251. After we will calculate the factors of 33242 and 33251 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 33251

Prime factors of 33251 are 41, 811. Prime factorization of 33251 in exponential form is:

33251 = 41¹ × 811¹

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 33251

List of positive integer factors of 33251 that divides 33242 without a remainder.

1, 41, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33242 and 33251. The biggest common factor number is the GCF number.
So the greatest common factor 33242 and 33251 is 1.

Also check out the Least Common Multiple of 33242 and 33251