What is the Greatest Common Factor of 33007 and 33027?

Greatest common factor (GCF) of 33007 and 33027 is 1.

GCF(33007,33027) = 1

We will now calculate the prime factors of 33007 and 33027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33007 and 33027.

How to find the GCF of 33007 and 33027?

We will first find the prime factorization of 33007 and 33027. After we will calculate the factors of 33007 and 33027 and find the biggest common factor number .

Step-1: Prime Factorization of 33007

Prime factors of 33007 are 13, 2539. Prime factorization of 33007 in exponential form is:

33007 = 13¹ × 2539¹

Step-2: Prime Factorization of 33027

Prime factors of 33027 are 3, 101, 109. Prime factorization of 33027 in exponential form is:

33027 = 3¹ × 101¹ × 109¹

Step-3: Factors of 33007

List of positive integer factors of 33007 that divides 33007 without a remainder.

1, 13, 2539

Step-4: Factors of 33027

List of positive integer factors of 33027 that divides 33007 without a remainder.

1, 3, 101, 109, 303, 327, 11009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33007 and 33027. The biggest common factor number is the GCF number.
So the greatest common factor 33007 and 33027 is 1.

Also check out the Least Common Multiple of 33007 and 33027