What is the Greatest Common Factor of 5388 and 5406?

Greatest common factor (GCF) of 5388 and 5406 is 6.

GCF(5388,5406) = 6

We will now calculate the prime factors of 5388 and 5406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5388 and 5406.

How to find the GCF of 5388 and 5406?

We will first find the prime factorization of 5388 and 5406. After we will calculate the factors of 5388 and 5406 and find the biggest common factor number .

Step-1: Prime Factorization of 5388

Prime factors of 5388 are 2, 3, 449. Prime factorization of 5388 in exponential form is:

5388 = 2² × 3¹ × 449¹

Step-2: 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-3: Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694

Step-4: Factors of 5406

List of positive integer factors of 5406 that divides 5388 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5388 and 5406. The biggest common factor number is the GCF number.
So the greatest common factor 5388 and 5406 is 6.

Also check out the Least Common Multiple of 5388 and 5406