What is the Greatest Common Factor of 5460 and 5469?

Greatest common factor (GCF) of 5460 and 5469 is 3.

GCF(5460,5469) = 3

We will now calculate the prime factors of 5460 and 5469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5460 and 5469.

How to find the GCF of 5460 and 5469?

We will first find the prime factorization of 5460 and 5469. After we will calculate the factors of 5460 and 5469 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 5469

Prime factors of 5469 are 3, 1823. Prime factorization of 5469 in exponential form is:

5469 = 3¹ × 1823¹

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 5469

List of positive integer factors of 5469 that divides 5460 without a remainder.

1, 3, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5460 and 5469. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5469 is 3.

Also check out the Least Common Multiple of 5460 and 5469