What is the Greatest Common Factor of 9148 and 9164?

Greatest common factor (GCF) of 9148 and 9164 is 4.

GCF(9148,9164) = 4

We will now calculate the prime factors of 9148 and 9164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9148 and 9164.

How to find the GCF of 9148 and 9164?

We will first find the prime factorization of 9148 and 9164. After we will calculate the factors of 9148 and 9164 and find the biggest common factor number .

Step-1: Prime Factorization of 9148

Prime factors of 9148 are 2, 2287. Prime factorization of 9148 in exponential form is:

9148 = 2² × 2287¹

Step-2: Prime Factorization of 9164

Prime factors of 9164 are 2, 29, 79. Prime factorization of 9164 in exponential form is:

9164 = 2² × 29¹ × 79¹

Step-3: Factors of 9148

List of positive integer factors of 9148 that divides 9148 without a remainder.

1, 2, 4, 2287, 4574

Step-4: Factors of 9164

List of positive integer factors of 9164 that divides 9148 without a remainder.

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9148 and 9164. The biggest common factor number is the GCF number.
So the greatest common factor 9148 and 9164 is 4.

Also check out the Least Common Multiple of 9148 and 9164