What is the Greatest Common Factor of 5160 and 5169?

Greatest common factor (GCF) of 5160 and 5169 is 3.

GCF(5160,5169) = 3

We will now calculate the prime factors of 5160 and 5169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5160 and 5169.

How to find the GCF of 5160 and 5169?

We will first find the prime factorization of 5160 and 5169. After we will calculate the factors of 5160 and 5169 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 5169

Prime factors of 5169 are 3, 1723. Prime factorization of 5169 in exponential form is:

5169 = 3¹ × 1723¹

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 5169

List of positive integer factors of 5169 that divides 5160 without a remainder.

1, 3, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5160 and 5169. The biggest common factor number is the GCF number.
So the greatest common factor 5160 and 5169 is 3.

Also check out the Least Common Multiple of 5160 and 5169