What is the Greatest Common Factor of 5478 and 5489?

Greatest common factor (GCF) of 5478 and 5489 is 11.

GCF(5478,5489) = 11

We will now calculate the prime factors of 5478 and 5489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5478 and 5489.

How to find the GCF of 5478 and 5489?

We will first find the prime factorization of 5478 and 5489. After we will calculate the factors of 5478 and 5489 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 5489

Prime factors of 5489 are 11, 499. Prime factorization of 5489 in exponential form is:

5489 = 11¹ × 499¹

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 5489

List of positive integer factors of 5489 that divides 5478 without a remainder.

1, 11, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5478 and 5489. The biggest common factor number is the GCF number.
So the greatest common factor 5478 and 5489 is 11.

Also check out the Least Common Multiple of 5478 and 5489