What is the Greatest Common Factor of 33872 and 33891?

Greatest common factor (GCF) of 33872 and 33891 is 1.

GCF(33872,33891) = 1

We will now calculate the prime factors of 33872 and 33891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33872 and 33891.

How to find the GCF of 33872 and 33891?

We will first find the prime factorization of 33872 and 33891. After we will calculate the factors of 33872 and 33891 and find the biggest common factor number .

Step-1: Prime Factorization of 33872

Prime factors of 33872 are 2, 29, 73. Prime factorization of 33872 in exponential form is:

33872 = 2⁴ × 29¹ × 73¹

Step-2: Prime Factorization of 33891

Prime factors of 33891 are 3, 11, 13, 79. Prime factorization of 33891 in exponential form is:

33891 = 3¹ × 11¹ × 13¹ × 79¹

Step-3: Factors of 33872

List of positive integer factors of 33872 that divides 33872 without a remainder.

1, 2, 4, 8, 16, 29, 58, 73, 116, 146, 232, 292, 464, 584, 1168, 2117, 4234, 8468, 16936

Step-4: Factors of 33891

List of positive integer factors of 33891 that divides 33872 without a remainder.

1, 3, 11, 13, 33, 39, 79, 143, 237, 429, 869, 1027, 2607, 3081, 11297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33872 and 33891. The biggest common factor number is the GCF number.
So the greatest common factor 33872 and 33891 is 1.

Also check out the Least Common Multiple of 33872 and 33891