What is the Greatest Common Factor of 5423 and 5440?

Greatest common factor (GCF) of 5423 and 5440 is 17.

GCF(5423,5440) = 17

We will now calculate the prime factors of 5423 and 5440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5423 and 5440.

How to find the GCF of 5423 and 5440?

We will first find the prime factorization of 5423 and 5440. After we will calculate the factors of 5423 and 5440 and find the biggest common factor number .

Step-1: Prime Factorization of 5423

Prime factors of 5423 are 11, 17, 29. Prime factorization of 5423 in exponential form is:

5423 = 11¹ × 17¹ × 29¹

Step-2: Prime Factorization of 5440

Prime factors of 5440 are 2, 5, 17. Prime factorization of 5440 in exponential form is:

5440 = 2⁶ × 5¹ × 17¹

Step-3: Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1, 11, 17, 29, 187, 319, 493

Step-4: Factors of 5440

List of positive integer factors of 5440 that divides 5423 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5423 and 5440. The biggest common factor number is the GCF number.
So the greatest common factor 5423 and 5440 is 17.

Also check out the Least Common Multiple of 5423 and 5440