What is the Greatest Common Factor of 35166 and 35181?

Greatest common factor (GCF) of 35166 and 35181 is 3.

GCF(35166,35181) = 3

We will now calculate the prime factors of 35166 and 35181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35166 and 35181.

How to find the GCF of 35166 and 35181?

We will first find the prime factorization of 35166 and 35181. After we will calculate the factors of 35166 and 35181 and find the biggest common factor number .

Step-1: Prime Factorization of 35166

Prime factors of 35166 are 2, 3, 5861. Prime factorization of 35166 in exponential form is:

35166 = 2¹ × 3¹ × 5861¹

Step-2: Prime Factorization of 35181

Prime factors of 35181 are 3, 1303. Prime factorization of 35181 in exponential form is:

35181 = 3³ × 1303¹

Step-3: Factors of 35166

List of positive integer factors of 35166 that divides 35166 without a remainder.

1, 2, 3, 6, 5861, 11722, 17583

Step-4: Factors of 35181

List of positive integer factors of 35181 that divides 35166 without a remainder.

1, 3, 9, 27, 1303, 3909, 11727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35166 and 35181. The biggest common factor number is the GCF number.
So the greatest common factor 35166 and 35181 is 3.

Also check out the Least Common Multiple of 35166 and 35181