What is the Greatest Common Factor of 35821 and 35838?

Greatest common factor (GCF) of 35821 and 35838 is 1.

GCF(35821,35838) = 1

We will now calculate the prime factors of 35821 and 35838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35821 and 35838.

How to find the GCF of 35821 and 35838?

We will first find the prime factorization of 35821 and 35838. After we will calculate the factors of 35821 and 35838 and find the biggest common factor number .

Step-1: Prime Factorization of 35821

Prime factors of 35821 are 113, 317. Prime factorization of 35821 in exponential form is:

35821 = 113¹ × 317¹

Step-2: 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-3: Factors of 35821

List of positive integer factors of 35821 that divides 35821 without a remainder.

1, 113, 317

Step-4: Factors of 35838

List of positive integer factors of 35838 that divides 35821 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35821 and 35838. The biggest common factor number is the GCF number.
So the greatest common factor 35821 and 35838 is 1.

Also check out the Least Common Multiple of 35821 and 35838