What is the Greatest Common Factor of 5160 and 5177?

Greatest common factor (GCF) of 5160 and 5177 is 1.

GCF(5160,5177) = 1

We will now calculate the prime factors of 5160 and 5177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5160 and 5177.

How to find the GCF of 5160 and 5177?

We will first find the prime factorization of 5160 and 5177. After we will calculate the factors of 5160 and 5177 and find the biggest common factor number .

Step-1: Prime Factorization of 5160

Prime factors of 5160 are 2, 3, 5, 43. Prime factorization of 5160 in exponential form is:

5160 = 2³ × 3¹ × 5¹ × 43¹

Step-2: Prime Factorization of 5177

Prime factors of 5177 are 31, 167. Prime factorization of 5177 in exponential form is:

5177 = 31¹ × 167¹

Step-3: Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580

Step-4: Factors of 5177

List of positive integer factors of 5177 that divides 5160 without a remainder.

1, 31, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5160 and 5177. The biggest common factor number is the GCF number.
So the greatest common factor 5160 and 5177 is 1.

Also check out the Least Common Multiple of 5160 and 5177