What is the Greatest Common Factor of 4148 and 4168?

Greatest common factor (GCF) of 4148 and 4168 is 4.

GCF(4148,4168) = 4

We will now calculate the prime factors of 4148 and 4168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4148 and 4168.

How to find the GCF of 4148 and 4168?

We will first find the prime factorization of 4148 and 4168. After we will calculate the factors of 4148 and 4168 and find the biggest common factor number .

Step-1: Prime Factorization of 4148

Prime factors of 4148 are 2, 17, 61. Prime factorization of 4148 in exponential form is:

4148 = 2² × 17¹ × 61¹

Step-2: Prime Factorization of 4168

Prime factors of 4168 are 2, 521. Prime factorization of 4168 in exponential form is:

4168 = 2³ × 521¹

Step-3: Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074

Step-4: Factors of 4168

List of positive integer factors of 4168 that divides 4148 without a remainder.

1, 2, 4, 8, 521, 1042, 2084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4148 and 4168. The biggest common factor number is the GCF number.
So the greatest common factor 4148 and 4168 is 4.

Also check out the Least Common Multiple of 4148 and 4168