What is the Greatest Common Factor of 5406 and 5423?

Greatest common factor (GCF) of 5406 and 5423 is 17.

GCF(5406,5423) = 17

We will now calculate the prime factors of 5406 and 5423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5406 and 5423.

How to find the GCF of 5406 and 5423?

We will first find the prime factorization of 5406 and 5423. After we will calculate the factors of 5406 and 5423 and find the biggest common factor number .

Step-1: Prime Factorization of 5406

Prime factors of 5406 are 2, 3, 17, 53. Prime factorization of 5406 in exponential form is:

5406 = 2¹ × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 5423

Prime factors of 5423 are 11, 17, 29. Prime factorization of 5423 in exponential form is:

5423 = 11¹ × 17¹ × 29¹

Step-3: Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703

Step-4: Factors of 5423

List of positive integer factors of 5423 that divides 5406 without a remainder.

1, 11, 17, 29, 187, 319, 493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5406 and 5423. The biggest common factor number is the GCF number.
So the greatest common factor 5406 and 5423 is 17.

Also check out the Least Common Multiple of 5406 and 5423