What is the Greatest Common Factor of 33411 and 33429?

Greatest common factor (GCF) of 33411 and 33429 is 3.

GCF(33411,33429) = 3

We will now calculate the prime factors of 33411 and 33429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33411 and 33429.

How to find the GCF of 33411 and 33429?

We will first find the prime factorization of 33411 and 33429. After we will calculate the factors of 33411 and 33429 and find the biggest common factor number .

Step-1: Prime Factorization of 33411

Prime factors of 33411 are 3, 7, 37, 43. Prime factorization of 33411 in exponential form is:

33411 = 3¹ × 7¹ × 37¹ × 43¹

Step-2: Prime Factorization of 33429

Prime factors of 33429 are 3, 11, 1013. Prime factorization of 33429 in exponential form is:

33429 = 3¹ × 11¹ × 1013¹

Step-3: Factors of 33411

List of positive integer factors of 33411 that divides 33411 without a remainder.

1, 3, 7, 21, 37, 43, 111, 129, 259, 301, 777, 903, 1591, 4773, 11137

Step-4: Factors of 33429

List of positive integer factors of 33429 that divides 33411 without a remainder.

1, 3, 11, 33, 1013, 3039, 11143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33411 and 33429. The biggest common factor number is the GCF number.
So the greatest common factor 33411 and 33429 is 3.

Also check out the Least Common Multiple of 33411 and 33429