What is the Greatest Common Factor of 33253 and 33263?

Greatest common factor (GCF) of 33253 and 33263 is 1.

GCF(33253,33263) = 1

We will now calculate the prime factors of 33253 and 33263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33253 and 33263.

How to find the GCF of 33253 and 33263?

We will first find the prime factorization of 33253 and 33263. After we will calculate the factors of 33253 and 33263 and find the biggest common factor number .

Step-1: Prime Factorization of 33253

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

33253 = 11¹ × 3023¹

Step-2: Prime Factorization of 33263

Prime factors of 33263 are 29, 31, 37. Prime factorization of 33263 in exponential form is:

33263 = 29¹ × 31¹ × 37¹

Step-3: Factors of 33253

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

1, 11, 3023

Step-4: Factors of 33263

List of positive integer factors of 33263 that divides 33253 without a remainder.

1, 29, 31, 37, 899, 1073, 1147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33253 and 33263. The biggest common factor number is the GCF number.
So the greatest common factor 33253 and 33263 is 1.

Also check out the Least Common Multiple of 33253 and 33263