What is the Greatest Common Factor of 33436 and 33449?

Greatest common factor (GCF) of 33436 and 33449 is 13.

GCF(33436,33449) = 13

We will now calculate the prime factors of 33436 and 33449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33436 and 33449.

How to find the GCF of 33436 and 33449?

We will first find the prime factorization of 33436 and 33449. After we will calculate the factors of 33436 and 33449 and find the biggest common factor number .

Step-1: Prime Factorization of 33436

Prime factors of 33436 are 2, 13, 643. Prime factorization of 33436 in exponential form is:

33436 = 2² × 13¹ × 643¹

Step-2: Prime Factorization of 33449

Prime factors of 33449 are 13, 31, 83. Prime factorization of 33449 in exponential form is:

33449 = 13¹ × 31¹ × 83¹

Step-3: Factors of 33436

List of positive integer factors of 33436 that divides 33436 without a remainder.

1, 2, 4, 13, 26, 52, 643, 1286, 2572, 8359, 16718

Step-4: Factors of 33449

List of positive integer factors of 33449 that divides 33436 without a remainder.

1, 13, 31, 83, 403, 1079, 2573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33436 and 33449. The biggest common factor number is the GCF number.
So the greatest common factor 33436 and 33449 is 13.

Also check out the Least Common Multiple of 33436 and 33449