What is the Greatest Common Factor of 33998 and 34014?

Greatest common factor (GCF) of 33998 and 34014 is 2.

GCF(33998,34014) = 2

We will now calculate the prime factors of 33998 and 34014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33998 and 34014.

How to find the GCF of 33998 and 34014?

We will first find the prime factorization of 33998 and 34014. After we will calculate the factors of 33998 and 34014 and find the biggest common factor number .

Step-1: Prime Factorization of 33998

Prime factors of 33998 are 2, 89, 191. Prime factorization of 33998 in exponential form is:

33998 = 2¹ × 89¹ × 191¹

Step-2: Prime Factorization of 34014

Prime factors of 34014 are 2, 3, 5669. Prime factorization of 34014 in exponential form is:

34014 = 2¹ × 3¹ × 5669¹

Step-3: Factors of 33998

List of positive integer factors of 33998 that divides 33998 without a remainder.

1, 2, 89, 178, 191, 382, 16999

Step-4: Factors of 34014

List of positive integer factors of 34014 that divides 33998 without a remainder.

1, 2, 3, 6, 5669, 11338, 17007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33998 and 34014. The biggest common factor number is the GCF number.
So the greatest common factor 33998 and 34014 is 2.

Also check out the Least Common Multiple of 33998 and 34014