What is the Greatest Common Factor of 33100 and 33109?

Greatest common factor (GCF) of 33100 and 33109 is 1.

GCF(33100,33109) = 1

We will now calculate the prime factors of 33100 and 33109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33100 and 33109.

How to find the GCF of 33100 and 33109?

We will first find the prime factorization of 33100 and 33109. After we will calculate the factors of 33100 and 33109 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33109

Prime factors of 33109 are 113, 293. Prime factorization of 33109 in exponential form is:

33109 = 113¹ × 293¹

Step-3: Factors of 33100

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

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

Step-4: Factors of 33109

List of positive integer factors of 33109 that divides 33100 without a remainder.

1, 113, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33100 and 33109. The biggest common factor number is the GCF number.
So the greatest common factor 33100 and 33109 is 1.

Also check out the Least Common Multiple of 33100 and 33109