What is the Greatest Common Factor of 5478 and 5487?

Greatest common factor (GCF) of 5478 and 5487 is 3.

GCF(5478,5487) = 3

We will now calculate the prime factors of 5478 and 5487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5478 and 5487.

How to find the GCF of 5478 and 5487?

We will first find the prime factorization of 5478 and 5487. After we will calculate the factors of 5478 and 5487 and find the biggest common factor number .

Step-1: Prime Factorization of 5478

Prime factors of 5478 are 2, 3, 11, 83. Prime factorization of 5478 in exponential form is:

5478 = 2¹ × 3¹ × 11¹ × 83¹

Step-2: Prime Factorization of 5487

Prime factors of 5487 are 3, 31, 59. Prime factorization of 5487 in exponential form is:

5487 = 3¹ × 31¹ × 59¹

Step-3: Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739

Step-4: Factors of 5487

List of positive integer factors of 5487 that divides 5478 without a remainder.

1, 3, 31, 59, 93, 177, 1829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5478 and 5487. The biggest common factor number is the GCF number.
So the greatest common factor 5478 and 5487 is 3.

Also check out the Least Common Multiple of 5478 and 5487