What is the Greatest Common Factor of 5428 and 5438?

Greatest common factor (GCF) of 5428 and 5438 is 2.

GCF(5428,5438) = 2

We will now calculate the prime factors of 5428 and 5438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5428 and 5438.

How to find the GCF of 5428 and 5438?

We will first find the prime factorization of 5428 and 5438. After we will calculate the factors of 5428 and 5438 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 5438

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

5438 = 2¹ × 2719¹

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 5438

List of positive integer factors of 5438 that divides 5428 without a remainder.

1, 2, 2719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5428 and 5438. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5438 is 2.

Also check out the Least Common Multiple of 5428 and 5438