What is the Greatest Common Factor of 9149 and 9154?

Greatest common factor (GCF) of 9149 and 9154 is 1.

GCF(9149,9154) = 1

We will now calculate the prime factors of 9149 and 9154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9149 and 9154.

How to find the GCF of 9149 and 9154?

We will first find the prime factorization of 9149 and 9154. After we will calculate the factors of 9149 and 9154 and find the biggest common factor number .

Step-1: Prime Factorization of 9149

Prime factors of 9149 are 7, 1307. Prime factorization of 9149 in exponential form is:

9149 = 7¹ × 1307¹

Step-2: Prime Factorization of 9154

Prime factors of 9154 are 2, 23, 199. Prime factorization of 9154 in exponential form is:

9154 = 2¹ × 23¹ × 199¹

Step-3: Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1, 7, 1307

Step-4: Factors of 9154

List of positive integer factors of 9154 that divides 9149 without a remainder.

1, 2, 23, 46, 199, 398, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9149 and 9154. The biggest common factor number is the GCF number.
So the greatest common factor 9149 and 9154 is 1.

Also check out the Least Common Multiple of 9149 and 9154