What is the Greatest Common Factor of 33136 and 33155?

Greatest common factor (GCF) of 33136 and 33155 is 19.

GCF(33136,33155) = 19

We will now calculate the prime factors of 33136 and 33155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33136 and 33155.

How to find the GCF of 33136 and 33155?

We will first find the prime factorization of 33136 and 33155. After we will calculate the factors of 33136 and 33155 and find the biggest common factor number .

Step-1: Prime Factorization of 33136

Prime factors of 33136 are 2, 19, 109. Prime factorization of 33136 in exponential form is:

33136 = 2⁴ × 19¹ × 109¹

Step-2: Prime Factorization of 33155

Prime factors of 33155 are 5, 19, 349. Prime factorization of 33155 in exponential form is:

33155 = 5¹ × 19¹ × 349¹

Step-3: Factors of 33136

List of positive integer factors of 33136 that divides 33136 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 109, 152, 218, 304, 436, 872, 1744, 2071, 4142, 8284, 16568

Step-4: Factors of 33155

List of positive integer factors of 33155 that divides 33136 without a remainder.

1, 5, 19, 95, 349, 1745, 6631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33136 and 33155. The biggest common factor number is the GCF number.
So the greatest common factor 33136 and 33155 is 19.

Also check out the Least Common Multiple of 33136 and 33155