What is the Greatest Common Factor of 33089 and 33107?

Greatest common factor (GCF) of 33089 and 33107 is 1.

GCF(33089,33107) = 1

We will now calculate the prime factors of 33089 and 33107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33089 and 33107.

How to find the GCF of 33089 and 33107?

We will first find the prime factorization of 33089 and 33107. After we will calculate the factors of 33089 and 33107 and find the biggest common factor number .

Step-1: Prime Factorization of 33089

Prime factors of 33089 are 7, 29, 163. Prime factorization of 33089 in exponential form is:

33089 = 7¹ × 29¹ × 163¹

Step-2: Prime Factorization of 33107

Prime factors of 33107 are 33107. Prime factorization of 33107 in exponential form is:

33107 = 33107¹

Step-3: Factors of 33089

List of positive integer factors of 33089 that divides 33089 without a remainder.

1, 7, 29, 163, 203, 1141, 4727

Step-4: Factors of 33107

List of positive integer factors of 33107 that divides 33089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33089 and 33107. The biggest common factor number is the GCF number.
So the greatest common factor 33089 and 33107 is 1.

Also check out the Least Common Multiple of 33089 and 33107