What is the Greatest Common Factor of 5428 and 5442?

Greatest common factor (GCF) of 5428 and 5442 is 2.

GCF(5428,5442) = 2

We will now calculate the prime factors of 5428 and 5442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5428 and 5442.

How to find the GCF of 5428 and 5442?

We will first find the prime factorization of 5428 and 5442. After we will calculate the factors of 5428 and 5442 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 5442

Prime factors of 5442 are 2, 3, 907. Prime factorization of 5442 in exponential form is:

5442 = 2¹ × 3¹ × 907¹

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 5442

List of positive integer factors of 5442 that divides 5428 without a remainder.

1, 2, 3, 6, 907, 1814, 2721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5428 and 5442. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5442 is 2.

Also check out the Least Common Multiple of 5428 and 5442