What is the Greatest Common Factor of 33698 and 33703?

Greatest common factor (GCF) of 33698 and 33703 is 1.

GCF(33698,33703) = 1

We will now calculate the prime factors of 33698 and 33703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33698 and 33703.

How to find the GCF of 33698 and 33703?

We will first find the prime factorization of 33698 and 33703. After we will calculate the factors of 33698 and 33703 and find the biggest common factor number .

Step-1: Prime Factorization of 33698

Prime factors of 33698 are 2, 7, 29, 83. Prime factorization of 33698 in exponential form is:

33698 = 2¹ × 7¹ × 29¹ × 83¹

Step-2: Prime Factorization of 33703

Prime factors of 33703 are 33703. Prime factorization of 33703 in exponential form is:

33703 = 33703¹

Step-3: Factors of 33698

List of positive integer factors of 33698 that divides 33698 without a remainder.

1, 2, 7, 14, 29, 58, 83, 166, 203, 406, 581, 1162, 2407, 4814, 16849

Step-4: Factors of 33703

List of positive integer factors of 33703 that divides 33698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33698 and 33703. The biggest common factor number is the GCF number.
So the greatest common factor 33698 and 33703 is 1.

Also check out the Least Common Multiple of 33698 and 33703