What is the Greatest Common Factor of 33229 and 33248?

Greatest common factor (GCF) of 33229 and 33248 is 1.

GCF(33229,33248) = 1

We will now calculate the prime factors of 33229 and 33248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33229 and 33248.

How to find the GCF of 33229 and 33248?

We will first find the prime factorization of 33229 and 33248. After we will calculate the factors of 33229 and 33248 and find the biggest common factor number .

Step-1: Prime Factorization of 33229

Prime factors of 33229 are 7, 47, 101. Prime factorization of 33229 in exponential form is:

33229 = 7¹ × 47¹ × 101¹

Step-2: Prime Factorization of 33248

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

33248 = 2⁵ × 1039¹

Step-3: Factors of 33229

List of positive integer factors of 33229 that divides 33229 without a remainder.

1, 7, 47, 101, 329, 707, 4747

Step-4: Factors of 33248

List of positive integer factors of 33248 that divides 33229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33229 and 33248. The biggest common factor number is the GCF number.
So the greatest common factor 33229 and 33248 is 1.

Also check out the Least Common Multiple of 33229 and 33248