What is the Greatest Common Factor of 5428 and 5443?

Greatest common factor (GCF) of 5428 and 5443 is 1.

GCF(5428,5443) = 1

We will now calculate the prime factors of 5428 and 5443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5428 and 5443.

How to find the GCF of 5428 and 5443?

We will first find the prime factorization of 5428 and 5443. After we will calculate the factors of 5428 and 5443 and find the biggest common factor number .

Step-1: Prime Factorization of 5428

Prime factors of 5428 are 2, 23, 59. Prime factorization of 5428 in exponential form is:

5428 = 2² × 23¹ × 59¹

Step-2: Prime Factorization of 5443

Prime factors of 5443 are 5443. Prime factorization of 5443 in exponential form is:

5443 = 5443¹

Step-3: Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714

Step-4: Factors of 5443

List of positive integer factors of 5443 that divides 5428 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5428 and 5443. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5443 is 1.

Also check out the Least Common Multiple of 5428 and 5443