What is the Greatest Common Factor of 33100 and 33108?

Greatest common factor (GCF) of 33100 and 33108 is 4.

GCF(33100,33108) = 4

We will now calculate the prime factors of 33100 and 33108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33100 and 33108.

How to find the GCF of 33100 and 33108?

We will first find the prime factorization of 33100 and 33108. After we will calculate the factors of 33100 and 33108 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 33108

Prime factors of 33108 are 2, 3, 31, 89. Prime factorization of 33108 in exponential form is:

33108 = 2² × 3¹ × 31¹ × 89¹

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 33108

List of positive integer factors of 33108 that divides 33100 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 89, 93, 124, 178, 186, 267, 356, 372, 534, 1068, 2759, 5518, 8277, 11036, 16554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33100 and 33108. The biggest common factor number is the GCF number.
So the greatest common factor 33100 and 33108 is 4.

Also check out the Least Common Multiple of 33100 and 33108