What is the Greatest Common Factor of 33086 and 33100?

Greatest common factor (GCF) of 33086 and 33100 is 2.

GCF(33086,33100) = 2

We will now calculate the prime factors of 33086 and 33100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33086 and 33100.

How to find the GCF of 33086 and 33100?

We will first find the prime factorization of 33086 and 33100. After we will calculate the factors of 33086 and 33100 and find the biggest common factor number .

Step-1: Prime Factorization of 33086

Prime factors of 33086 are 2, 71, 233. Prime factorization of 33086 in exponential form is:

33086 = 2¹ × 71¹ × 233¹

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 33086

List of positive integer factors of 33086 that divides 33086 without a remainder.

1, 2, 71, 142, 233, 466, 16543

Step-4: Factors of 33100

List of positive integer factors of 33100 that divides 33086 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 33086 and 33100. The biggest common factor number is the GCF number.
So the greatest common factor 33086 and 33100 is 2.

Also check out the Least Common Multiple of 33086 and 33100