What is the Greatest Common Factor of 5151 and 5168?

Greatest common factor (GCF) of 5151 and 5168 is 17.

GCF(5151,5168) = 17

We will now calculate the prime factors of 5151 and 5168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5151 and 5168.

How to find the GCF of 5151 and 5168?

We will first find the prime factorization of 5151 and 5168. After we will calculate the factors of 5151 and 5168 and find the biggest common factor number .

Step-1: Prime Factorization of 5151

Prime factors of 5151 are 3, 17, 101. Prime factorization of 5151 in exponential form is:

5151 = 3¹ × 17¹ × 101¹

Step-2: Prime Factorization of 5168

Prime factors of 5168 are 2, 17, 19. Prime factorization of 5168 in exponential form is:

5168 = 2⁴ × 17¹ × 19¹

Step-3: Factors of 5151

List of positive integer factors of 5151 that divides 5151 without a remainder.

1, 3, 17, 51, 101, 303, 1717

Step-4: Factors of 5168

List of positive integer factors of 5168 that divides 5151 without a remainder.

1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5151 and 5168. The biggest common factor number is the GCF number.
So the greatest common factor 5151 and 5168 is 17.

Also check out the Least Common Multiple of 5151 and 5168