What is the Greatest Common Factor of 30833 and 30844?

Greatest common factor (GCF) of 30833 and 30844 is 11.

GCF(30833,30844) = 11

We will now calculate the prime factors of 30833 and 30844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30833 and 30844.

How to find the GCF of 30833 and 30844?

We will first find the prime factorization of 30833 and 30844. After we will calculate the factors of 30833 and 30844 and find the biggest common factor number .

Step-1: Prime Factorization of 30833

Prime factors of 30833 are 11, 2803. Prime factorization of 30833 in exponential form is:

30833 = 11¹ × 2803¹

Step-2: Prime Factorization of 30844

Prime factors of 30844 are 2, 11, 701. Prime factorization of 30844 in exponential form is:

30844 = 2² × 11¹ × 701¹

Step-3: Factors of 30833

List of positive integer factors of 30833 that divides 30833 without a remainder.

1, 11, 2803

Step-4: Factors of 30844

List of positive integer factors of 30844 that divides 30833 without a remainder.

1, 2, 4, 11, 22, 44, 701, 1402, 2804, 7711, 15422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30833 and 30844. The biggest common factor number is the GCF number.
So the greatest common factor 30833 and 30844 is 11.

Also check out the Least Common Multiple of 30833 and 30844