What is the Greatest Common Factor of 33089 and 33103?

Greatest common factor (GCF) of 33089 and 33103 is 7.

GCF(33089,33103) = 7

We will now calculate the prime factors of 33089 and 33103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33089 and 33103.

How to find the GCF of 33089 and 33103?

We will first find the prime factorization of 33089 and 33103. After we will calculate the factors of 33089 and 33103 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 33103

Prime factors of 33103 are 7, 4729. Prime factorization of 33103 in exponential form is:

33103 = 7¹ × 4729¹

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 33103

List of positive integer factors of 33103 that divides 33089 without a remainder.

1, 7, 4729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33089 and 33103. The biggest common factor number is the GCF number.
So the greatest common factor 33089 and 33103 is 7.

Also check out the Least Common Multiple of 33089 and 33103