What is the Greatest Common Factor of 33098 and 33112?

Greatest common factor (GCF) of 33098 and 33112 is 2.

GCF(33098,33112) = 2

We will now calculate the prime factors of 33098 and 33112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33098 and 33112.

How to find the GCF of 33098 and 33112?

We will first find the prime factorization of 33098 and 33112. After we will calculate the factors of 33098 and 33112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33112

Prime factors of 33112 are 2, 4139. Prime factorization of 33112 in exponential form is:

33112 = 2³ × 4139¹

Step-3: Factors of 33098

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

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

Step-4: Factors of 33112

List of positive integer factors of 33112 that divides 33098 without a remainder.

1, 2, 4, 8, 4139, 8278, 16556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33098 and 33112. The biggest common factor number is the GCF number.
So the greatest common factor 33098 and 33112 is 2.

Also check out the Least Common Multiple of 33098 and 33112