What is the Greatest Common Factor of 33100 and 33104?

Greatest common factor (GCF) of 33100 and 33104 is 4.

GCF(33100,33104) = 4

We will now calculate the prime factors of 33100 and 33104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33100 and 33104.

How to find the GCF of 33100 and 33104?

We will first find the prime factorization of 33100 and 33104. After we will calculate the factors of 33100 and 33104 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 33104

Prime factors of 33104 are 2, 2069. Prime factorization of 33104 in exponential form is:

33104 = 2⁴ × 2069¹

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 33104

List of positive integer factors of 33104 that divides 33100 without a remainder.

1, 2, 4, 8, 16, 2069, 4138, 8276, 16552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33100 and 33104. The biggest common factor number is the GCF number.
So the greatest common factor 33100 and 33104 is 4.

Also check out the Least Common Multiple of 33100 and 33104