What is the Greatest Common Factor of 33514 and 33529?

Greatest common factor (GCF) of 33514 and 33529 is 1.

GCF(33514,33529) = 1

We will now calculate the prime factors of 33514 and 33529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33514 and 33529.

How to find the GCF of 33514 and 33529?

We will first find the prime factorization of 33514 and 33529. After we will calculate the factors of 33514 and 33529 and find the biggest common factor number .

Step-1: Prime Factorization of 33514

Prime factors of 33514 are 2, 13, 1289. Prime factorization of 33514 in exponential form is:

33514 = 2¹ × 13¹ × 1289¹

Step-2: Prime Factorization of 33529

Prime factors of 33529 are 33529. Prime factorization of 33529 in exponential form is:

33529 = 33529¹

Step-3: Factors of 33514

List of positive integer factors of 33514 that divides 33514 without a remainder.

1, 2, 13, 26, 1289, 2578, 16757

Step-4: Factors of 33529

List of positive integer factors of 33529 that divides 33514 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33514 and 33529. The biggest common factor number is the GCF number.
So the greatest common factor 33514 and 33529 is 1.

Also check out the Least Common Multiple of 33514 and 33529