What is the Greatest Common Factor of 5160 and 5174?

Greatest common factor (GCF) of 5160 and 5174 is 2.

GCF(5160,5174) = 2

We will now calculate the prime factors of 5160 and 5174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5160 and 5174.

How to find the GCF of 5160 and 5174?

We will first find the prime factorization of 5160 and 5174. After we will calculate the factors of 5160 and 5174 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 5174

Prime factors of 5174 are 2, 13, 199. Prime factorization of 5174 in exponential form is:

5174 = 2¹ × 13¹ × 199¹

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 5174

List of positive integer factors of 5174 that divides 5160 without a remainder.

1, 2, 13, 26, 199, 398, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5160 and 5174. The biggest common factor number is the GCF number.
So the greatest common factor 5160 and 5174 is 2.

Also check out the Least Common Multiple of 5160 and 5174