What is the Greatest Common Factor of 33990 and 34001?

Greatest common factor (GCF) of 33990 and 34001 is 11.

GCF(33990,34001) = 11

We will now calculate the prime factors of 33990 and 34001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33990 and 34001.

How to find the GCF of 33990 and 34001?

We will first find the prime factorization of 33990 and 34001. After we will calculate the factors of 33990 and 34001 and find the biggest common factor number .

Step-1: Prime Factorization of 33990

Prime factors of 33990 are 2, 3, 5, 11, 103. Prime factorization of 33990 in exponential form is:

33990 = 2¹ × 3¹ × 5¹ × 11¹ × 103¹

Step-2: Prime Factorization of 34001

Prime factors of 34001 are 11, 281. Prime factorization of 34001 in exponential form is:

34001 = 11² × 281¹

Step-3: Factors of 33990

List of positive integer factors of 33990 that divides 33990 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 103, 110, 165, 206, 309, 330, 515, 618, 1030, 1133, 1545, 2266, 3090, 3399, 5665, 6798, 11330, 16995

Step-4: Factors of 34001

List of positive integer factors of 34001 that divides 33990 without a remainder.

1, 11, 121, 281, 3091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33990 and 34001. The biggest common factor number is the GCF number.
So the greatest common factor 33990 and 34001 is 11.

Also check out the Least Common Multiple of 33990 and 34001