What is the Greatest Common Factor of 33845 and 33859?

Greatest common factor (GCF) of 33845 and 33859 is 7.

GCF(33845,33859) = 7

We will now calculate the prime factors of 33845 and 33859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33845 and 33859.

How to find the GCF of 33845 and 33859?

We will first find the prime factorization of 33845 and 33859. After we will calculate the factors of 33845 and 33859 and find the biggest common factor number .

Step-1: Prime Factorization of 33845

Prime factors of 33845 are 5, 7, 967. Prime factorization of 33845 in exponential form is:

33845 = 5¹ × 7¹ × 967¹

Step-2: Prime Factorization of 33859

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

33859 = 7² × 691¹

Step-3: Factors of 33845

List of positive integer factors of 33845 that divides 33845 without a remainder.

1, 5, 7, 35, 967, 4835, 6769

Step-4: Factors of 33859

List of positive integer factors of 33859 that divides 33845 without a remainder.

1, 7, 49, 691, 4837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33845 and 33859. The biggest common factor number is the GCF number.
So the greatest common factor 33845 and 33859 is 7.

Also check out the Least Common Multiple of 33845 and 33859