What is the Greatest Common Factor of 5478 and 5496?

Greatest common factor (GCF) of 5478 and 5496 is 6.

GCF(5478,5496) = 6

We will now calculate the prime factors of 5478 and 5496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5478 and 5496.

How to find the GCF of 5478 and 5496?

We will first find the prime factorization of 5478 and 5496. After we will calculate the factors of 5478 and 5496 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 5496

Prime factors of 5496 are 2, 3, 229. Prime factorization of 5496 in exponential form is:

5496 = 2³ × 3¹ × 229¹

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 5496

List of positive integer factors of 5496 that divides 5478 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5478 and 5496. The biggest common factor number is the GCF number.
So the greatest common factor 5478 and 5496 is 6.

Also check out the Least Common Multiple of 5478 and 5496