What is the Greatest Common Factor of 33845 and 33863?

Greatest common factor (GCF) of 33845 and 33863 is 1.

GCF(33845,33863) = 1

We will now calculate the prime factors of 33845 and 33863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33845 and 33863.

How to find the GCF of 33845 and 33863?

We will first find the prime factorization of 33845 and 33863. After we will calculate the factors of 33845 and 33863 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 33863

Prime factors of 33863 are 33863. Prime factorization of 33863 in exponential form is:

33863 = 33863¹

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 33863

List of positive integer factors of 33863 that divides 33845 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33845 and 33863. The biggest common factor number is the GCF number.
So the greatest common factor 33845 and 33863 is 1.

Also check out the Least Common Multiple of 33845 and 33863