What is the Greatest Common Factor of 33873 and 33888?

Greatest common factor (GCF) of 33873 and 33888 is 3.

GCF(33873,33888) = 3

We will now calculate the prime factors of 33873 and 33888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33873 and 33888.

How to find the GCF of 33873 and 33888?

We will first find the prime factorization of 33873 and 33888. After we will calculate the factors of 33873 and 33888 and find the biggest common factor number .

Step-1: Prime Factorization of 33873

Prime factors of 33873 are 3, 7, 1613. Prime factorization of 33873 in exponential form is:

33873 = 3¹ × 7¹ × 1613¹

Step-2: Prime Factorization of 33888

Prime factors of 33888 are 2, 3, 353. Prime factorization of 33888 in exponential form is:

33888 = 2⁵ × 3¹ × 353¹

Step-3: Factors of 33873

List of positive integer factors of 33873 that divides 33873 without a remainder.

1, 3, 7, 21, 1613, 4839, 11291

Step-4: Factors of 33888

List of positive integer factors of 33888 that divides 33873 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33873 and 33888. The biggest common factor number is the GCF number.
So the greatest common factor 33873 and 33888 is 3.

Also check out the Least Common Multiple of 33873 and 33888