What is the Greatest Common Factor of 33859 and 33873?

Greatest common factor (GCF) of 33859 and 33873 is 7.

GCF(33859,33873) = 7

We will now calculate the prime factors of 33859 and 33873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33859 and 33873.

How to find the GCF of 33859 and 33873?

We will first find the prime factorization of 33859 and 33873. After we will calculate the factors of 33859 and 33873 and find the biggest common factor number .

Step-1: Prime Factorization of 33859

Prime factors of 33859 are 7, 691. Prime factorization of 33859 in exponential form is:

33859 = 7² × 691¹

Step-2: 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-3: Factors of 33859

List of positive integer factors of 33859 that divides 33859 without a remainder.

1, 7, 49, 691, 4837

Step-4: Factors of 33873

List of positive integer factors of 33873 that divides 33859 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33859 and 33873. The biggest common factor number is the GCF number.
So the greatest common factor 33859 and 33873 is 7.

Also check out the Least Common Multiple of 33859 and 33873