What is the Greatest Common Factor of 33084 and 33098?

Greatest common factor (GCF) of 33084 and 33098 is 2.

GCF(33084,33098) = 2

We will now calculate the prime factors of 33084 and 33098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33084 and 33098.

How to find the GCF of 33084 and 33098?

We will first find the prime factorization of 33084 and 33098. After we will calculate the factors of 33084 and 33098 and find the biggest common factor number .

Step-1: Prime Factorization of 33084

Prime factors of 33084 are 2, 3, 919. Prime factorization of 33084 in exponential form is:

33084 = 2² × 3² × 919¹

Step-2: Prime Factorization of 33098

Prime factors of 33098 are 2, 13, 19, 67. Prime factorization of 33098 in exponential form is:

33098 = 2¹ × 13¹ × 19¹ × 67¹

Step-3: Factors of 33084

List of positive integer factors of 33084 that divides 33084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 919, 1838, 2757, 3676, 5514, 8271, 11028, 16542

Step-4: Factors of 33098

List of positive integer factors of 33098 that divides 33084 without a remainder.

1, 2, 13, 19, 26, 38, 67, 134, 247, 494, 871, 1273, 1742, 2546, 16549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33084 and 33098. The biggest common factor number is the GCF number.
So the greatest common factor 33084 and 33098 is 2.

Also check out the Least Common Multiple of 33084 and 33098