What is the Greatest Common Factor of 33089 and 33100?

Greatest common factor (GCF) of 33089 and 33100 is 1.

GCF(33089,33100) = 1

We will now calculate the prime factors of 33089 and 33100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33089 and 33100.

How to find the GCF of 33089 and 33100?

We will first find the prime factorization of 33089 and 33100. After we will calculate the factors of 33089 and 33100 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 33100

Prime factors of 33100 are 2, 5, 331. Prime factorization of 33100 in exponential form is:

33100 = 2² × 5² × 331¹

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 33100

List of positive integer factors of 33100 that divides 33089 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 331, 662, 1324, 1655, 3310, 6620, 8275, 16550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33089 and 33100. The biggest common factor number is the GCF number.
So the greatest common factor 33089 and 33100 is 1.

Also check out the Least Common Multiple of 33089 and 33100