What is the Greatest Common Factor of 9166 and 9177?

Greatest common factor (GCF) of 9166 and 9177 is 1.

GCF(9166,9177) = 1

We will now calculate the prime factors of 9166 and 9177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9166 and 9177.

How to find the GCF of 9166 and 9177?

We will first find the prime factorization of 9166 and 9177. After we will calculate the factors of 9166 and 9177 and find the biggest common factor number .

Step-1: Prime Factorization of 9166

Prime factors of 9166 are 2, 4583. Prime factorization of 9166 in exponential form is:

9166 = 2¹ × 4583¹

Step-2: Prime Factorization of 9177

Prime factors of 9177 are 3, 7, 19, 23. Prime factorization of 9177 in exponential form is:

9177 = 3¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1, 2, 4583

Step-4: Factors of 9177

List of positive integer factors of 9177 that divides 9166 without a remainder.

1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9166 and 9177. The biggest common factor number is the GCF number.
So the greatest common factor 9166 and 9177 is 1.

Also check out the Least Common Multiple of 9166 and 9177