What is the Greatest Common Factor of 33872 and 33878?

Greatest common factor (GCF) of 33872 and 33878 is 2.

GCF(33872,33878) = 2

We will now calculate the prime factors of 33872 and 33878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33872 and 33878.

How to find the GCF of 33872 and 33878?

We will first find the prime factorization of 33872 and 33878. After we will calculate the factors of 33872 and 33878 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 33878

Prime factors of 33878 are 2, 13, 1303. Prime factorization of 33878 in exponential form is:

33878 = 2¹ × 13¹ × 1303¹

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 33878

List of positive integer factors of 33878 that divides 33872 without a remainder.

1, 2, 13, 26, 1303, 2606, 16939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33872 and 33878. The biggest common factor number is the GCF number.
So the greatest common factor 33872 and 33878 is 2.

Also check out the Least Common Multiple of 33872 and 33878