What is the Greatest Common Factor of 13148 and 13168?

Greatest common factor (GCF) of 13148 and 13168 is 4.

GCF(13148,13168) = 4

We will now calculate the prime factors of 13148 and 13168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13148 and 13168.

How to find the GCF of 13148 and 13168?

We will first find the prime factorization of 13148 and 13168. After we will calculate the factors of 13148 and 13168 and find the biggest common factor number .

Step-1: Prime Factorization of 13148

Prime factors of 13148 are 2, 19, 173. Prime factorization of 13148 in exponential form is:

13148 = 2² × 19¹ × 173¹

Step-2: Prime Factorization of 13168

Prime factors of 13168 are 2, 823. Prime factorization of 13168 in exponential form is:

13168 = 2⁴ × 823¹

Step-3: Factors of 13148

List of positive integer factors of 13148 that divides 13148 without a remainder.

1, 2, 4, 19, 38, 76, 173, 346, 692, 3287, 6574

Step-4: Factors of 13168

List of positive integer factors of 13168 that divides 13148 without a remainder.

1, 2, 4, 8, 16, 823, 1646, 3292, 6584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13148 and 13168. The biggest common factor number is the GCF number.
So the greatest common factor 13148 and 13168 is 4.

Also check out the Least Common Multiple of 13148 and 13168