What is the Greatest Common Factor of 33248 and 33253?

Greatest common factor (GCF) of 33248 and 33253 is 1.

GCF(33248,33253) = 1

We will now calculate the prime factors of 33248 and 33253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33248 and 33253.

How to find the GCF of 33248 and 33253?

We will first find the prime factorization of 33248 and 33253. After we will calculate the factors of 33248 and 33253 and find the biggest common factor number .

Step-1: Prime Factorization of 33248

Prime factors of 33248 are 2, 1039. Prime factorization of 33248 in exponential form is:

33248 = 2⁵ × 1039¹

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 33248

List of positive integer factors of 33248 that divides 33248 without a remainder.

1, 2, 4, 8, 16, 32, 1039, 2078, 4156, 8312, 16624

Step-4: Factors of 33253

List of positive integer factors of 33253 that divides 33248 without a remainder.

1, 11, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33248 and 33253. The biggest common factor number is the GCF number.
So the greatest common factor 33248 and 33253 is 1.

Also check out the Least Common Multiple of 33248 and 33253