GCF and LCM Calculator Logo

What is the Greatest Common Factor of 35838 and 35849?

Greatest common factor (GCF) of 35838 and 35849 is 11.

GCF(35838,35849) = 11

We will now calculate the prime factors of 35838 and 35849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35838 and 35849.

GCF Calculator and
and

How to find the GCF of 35838 and 35849?

We will first find the prime factorization of 35838 and 35849. After we will calculate the factors of 35838 and 35849 and find the biggest common factor number .

Step-1: Prime Factorization of 35838

Prime factors of 35838 are 2, 3, 11, 181. Prime factorization of 35838 in exponential form is:

35838 = 21 × 32 × 111 × 1811

Step-2: Prime Factorization of 35849

Prime factors of 35849 are 11, 3259. Prime factorization of 35849 in exponential form is:

35849 = 111 × 32591

Step-3: Factors of 35838

List of positive integer factors of 35838 that divides 35838 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 181, 198, 362, 543, 1086, 1629, 1991, 3258, 3982, 5973, 11946, 17919

Step-4: Factors of 35849

List of positive integer factors of 35849 that divides 35838 without a remainder.

1, 11, 3259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35838 and 35849. The biggest common factor number is the GCF number.
So the greatest common factor 35838 and 35849 is 11.

Also check out the Least Common Multiple of 35838 and 35849