What is the Greatest Common Factor of 5271 and 5280?

Greatest common factor (GCF) of 5271 and 5280 is 3.

GCF(5271,5280) = 3

We will now calculate the prime factors of 5271 and 5280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5271 and 5280.

How to find the GCF of 5271 and 5280?

We will first find the prime factorization of 5271 and 5280. After we will calculate the factors of 5271 and 5280 and find the biggest common factor number .

Step-1: Prime Factorization of 5271

Prime factors of 5271 are 3, 7, 251. Prime factorization of 5271 in exponential form is:

5271 = 3¹ × 7¹ × 251¹

Step-2: Prime Factorization of 5280

Prime factors of 5280 are 2, 3, 5, 11. Prime factorization of 5280 in exponential form is:

5280 = 2⁵ × 3¹ × 5¹ × 11¹

Step-3: Factors of 5271

List of positive integer factors of 5271 that divides 5271 without a remainder.

1, 3, 7, 21, 251, 753, 1757

Step-4: Factors of 5280

List of positive integer factors of 5280 that divides 5271 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5271 and 5280. The biggest common factor number is the GCF number.
So the greatest common factor 5271 and 5280 is 3.

Also check out the Least Common Multiple of 5271 and 5280