What is the Greatest Common Factor of 5438 and 5456?

Greatest common factor (GCF) of 5438 and 5456 is 2.

GCF(5438,5456) = 2

We will now calculate the prime factors of 5438 and 5456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5438 and 5456.

How to find the GCF of 5438 and 5456?

We will first find the prime factorization of 5438 and 5456. After we will calculate the factors of 5438 and 5456 and find the biggest common factor number .

Step-1: Prime Factorization of 5438

Prime factors of 5438 are 2, 2719. Prime factorization of 5438 in exponential form is:

5438 = 2¹ × 2719¹

Step-2: Prime Factorization of 5456

Prime factors of 5456 are 2, 11, 31. Prime factorization of 5456 in exponential form is:

5456 = 2⁴ × 11¹ × 31¹

Step-3: Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1, 2, 2719

Step-4: Factors of 5456

List of positive integer factors of 5456 that divides 5438 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5438 and 5456. The biggest common factor number is the GCF number.
So the greatest common factor 5438 and 5456 is 2.

Also check out the Least Common Multiple of 5438 and 5456