What is the Greatest Common Factor of 35827 and 35838?

Greatest common factor (GCF) of 35827 and 35838 is 11.

GCF(35827,35838) = 11

We will now calculate the prime factors of 35827 and 35838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35827 and 35838.

How to find the GCF of 35827 and 35838?

We will first find the prime factorization of 35827 and 35838. After we will calculate the factors of 35827 and 35838 and find the biggest common factor number .

Step-1: Prime Factorization of 35827

Prime factors of 35827 are 11, 3257. Prime factorization of 35827 in exponential form is:

35827 = 11¹ × 3257¹

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 35827

List of positive integer factors of 35827 that divides 35827 without a remainder.

1, 11, 3257

Step-4: Factors of 35838

List of positive integer factors of 35838 that divides 35827 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 35827 and 35838. The biggest common factor number is the GCF number.
So the greatest common factor 35827 and 35838 is 11.

Also check out the Least Common Multiple of 35827 and 35838