What is the Greatest Common Factor of 33991 and 34010?

Greatest common factor (GCF) of 33991 and 34010 is 19.

GCF(33991,34010) = 19

We will now calculate the prime factors of 33991 and 34010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33991 and 34010.

How to find the GCF of 33991 and 34010?

We will first find the prime factorization of 33991 and 34010. After we will calculate the factors of 33991 and 34010 and find the biggest common factor number .

Step-1: Prime Factorization of 33991

Prime factors of 33991 are 19, 1789. Prime factorization of 33991 in exponential form is:

33991 = 19¹ × 1789¹

Step-2: Prime Factorization of 34010

Prime factors of 34010 are 2, 5, 19, 179. Prime factorization of 34010 in exponential form is:

34010 = 2¹ × 5¹ × 19¹ × 179¹

Step-3: Factors of 33991

List of positive integer factors of 33991 that divides 33991 without a remainder.

1, 19, 1789

Step-4: Factors of 34010

List of positive integer factors of 34010 that divides 33991 without a remainder.

1, 2, 5, 10, 19, 38, 95, 179, 190, 358, 895, 1790, 3401, 6802, 17005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33991 and 34010. The biggest common factor number is the GCF number.
So the greatest common factor 33991 and 34010 is 19.

Also check out the Least Common Multiple of 33991 and 34010