What is the Greatest Common Factor of 5152 and 5171?

Greatest common factor (GCF) of 5152 and 5171 is 1.

GCF(5152,5171) = 1

We will now calculate the prime factors of 5152 and 5171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5152 and 5171.

How to find the GCF of 5152 and 5171?

We will first find the prime factorization of 5152 and 5171. After we will calculate the factors of 5152 and 5171 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 5171

Prime factors of 5171 are 5171. Prime factorization of 5171 in exponential form is:

5171 = 5171¹

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 5171

List of positive integer factors of 5171 that divides 5152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5152 and 5171. The biggest common factor number is the GCF number.
So the greatest common factor 5152 and 5171 is 1.

Also check out the Least Common Multiple of 5152 and 5171