What is the Greatest Common Factor of 33814 and 33834?

Greatest common factor (GCF) of 33814 and 33834 is 2.

GCF(33814,33834) = 2

We will now calculate the prime factors of 33814 and 33834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33814 and 33834.

How to find the GCF of 33814 and 33834?

We will first find the prime factorization of 33814 and 33834. After we will calculate the factors of 33814 and 33834 and find the biggest common factor number .

Step-1: Prime Factorization of 33814

Prime factors of 33814 are 2, 11, 29, 53. Prime factorization of 33814 in exponential form is:

33814 = 2¹ × 11¹ × 29¹ × 53¹

Step-2: Prime Factorization of 33834

Prime factors of 33834 are 2, 3, 5639. Prime factorization of 33834 in exponential form is:

33834 = 2¹ × 3¹ × 5639¹

Step-3: Factors of 33814

List of positive integer factors of 33814 that divides 33814 without a remainder.

1, 2, 11, 22, 29, 53, 58, 106, 319, 583, 638, 1166, 1537, 3074, 16907

Step-4: Factors of 33834

List of positive integer factors of 33834 that divides 33814 without a remainder.

1, 2, 3, 6, 5639, 11278, 16917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33814 and 33834. The biggest common factor number is the GCF number.
So the greatest common factor 33814 and 33834 is 2.

Also check out the Least Common Multiple of 33814 and 33834