What is the Greatest Common Factor of 5274 and 5280?

Greatest common factor (GCF) of 5274 and 5280 is 6.

GCF(5274,5280) = 6

We will now calculate the prime factors of 5274 and 5280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5274 and 5280.

How to find the GCF of 5274 and 5280?

We will first find the prime factorization of 5274 and 5280. After we will calculate the factors of 5274 and 5280 and find the biggest common factor number .

Step-1: Prime Factorization of 5274

Prime factors of 5274 are 2, 3, 293. Prime factorization of 5274 in exponential form is:

5274 = 2¹ × 3² × 293¹

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 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637

Step-4: Factors of 5280

List of positive integer factors of 5280 that divides 5274 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 5274 and 5280. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5280 is 6.

Also check out the Least Common Multiple of 5274 and 5280