What is the Greatest Common Factor of 5460 and 5471?

Greatest common factor (GCF) of 5460 and 5471 is 1.

GCF(5460,5471) = 1

We will now calculate the prime factors of 5460 and 5471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5460 and 5471.

How to find the GCF of 5460 and 5471?

We will first find the prime factorization of 5460 and 5471. After we will calculate the factors of 5460 and 5471 and find the biggest common factor number .

Step-1: Prime Factorization of 5460

Prime factors of 5460 are 2, 3, 5, 7, 13. Prime factorization of 5460 in exponential form is:

5460 = 2² × 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 5471

Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:

5471 = 5471¹

Step-3: Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730

Step-4: Factors of 5471

List of positive integer factors of 5471 that divides 5460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5460 and 5471. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5471 is 1.

Also check out the Least Common Multiple of 5460 and 5471