What is the Greatest Common Factor of 5152 and 5166?

Greatest common factor (GCF) of 5152 and 5166 is 14.

GCF(5152,5166) = 14

We will now calculate the prime factors of 5152 and 5166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5152 and 5166.

How to find the GCF of 5152 and 5166?

We will first find the prime factorization of 5152 and 5166. After we will calculate the factors of 5152 and 5166 and find the biggest common factor number .

Step-1: Prime Factorization of 5152

Prime factors of 5152 are 2, 7, 23. Prime factorization of 5152 in exponential form is:

5152 = 2⁵ × 7¹ × 23¹

Step-2: Prime Factorization of 5166

Prime factors of 5166 are 2, 3, 7, 41. Prime factorization of 5166 in exponential form is:

5166 = 2¹ × 3² × 7¹ × 41¹

Step-3: Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576

Step-4: Factors of 5166

List of positive integer factors of 5166 that divides 5152 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5152 and 5166. The biggest common factor number is the GCF number.
So the greatest common factor 5152 and 5166 is 14.

Also check out the Least Common Multiple of 5152 and 5166