What is the Greatest Common Factor of 5428 and 5445?

Greatest common factor (GCF) of 5428 and 5445 is 1.

GCF(5428,5445) = 1

We will now calculate the prime factors of 5428 and 5445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5428 and 5445.

How to find the GCF of 5428 and 5445?

We will first find the prime factorization of 5428 and 5445. After we will calculate the factors of 5428 and 5445 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 5445

Prime factors of 5445 are 3, 5, 11. Prime factorization of 5445 in exponential form is:

5445 = 3² × 5¹ × 11²

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 5445

List of positive integer factors of 5445 that divides 5428 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5428 and 5445. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5445 is 1.

Also check out the Least Common Multiple of 5428 and 5445