What is the Greatest Common Factor of 5445 and 5463?

Greatest common factor (GCF) of 5445 and 5463 is 9.

GCF(5445,5463) = 9

We will now calculate the prime factors of 5445 and 5463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5445 and 5463.

How to find the GCF of 5445 and 5463?

We will first find the prime factorization of 5445 and 5463. After we will calculate the factors of 5445 and 5463 and find the biggest common factor number .

Step-1: Prime Factorization of 5445

Prime factors of 5445 are 3, 5, 11. Prime factorization of 5445 in exponential form is:

5445 = 3² × 5¹ × 11²

Step-2: Prime Factorization of 5463

Prime factors of 5463 are 3, 607. Prime factorization of 5463 in exponential form is:

5463 = 3² × 607¹

Step-3: Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815

Step-4: Factors of 5463

List of positive integer factors of 5463 that divides 5445 without a remainder.

1, 3, 9, 607, 1821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5445 and 5463. The biggest common factor number is the GCF number.
So the greatest common factor 5445 and 5463 is 9.

Also check out the Least Common Multiple of 5445 and 5463