What is the Greatest Common Factor of 5424 and 5440?

Greatest common factor (GCF) of 5424 and 5440 is 16.

GCF(5424,5440) = 16

We will now calculate the prime factors of 5424 and 5440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5424 and 5440.

How to find the GCF of 5424 and 5440?

We will first find the prime factorization of 5424 and 5440. After we will calculate the factors of 5424 and 5440 and find the biggest common factor number .

Step-1: Prime Factorization of 5424

Prime factors of 5424 are 2, 3, 113. Prime factorization of 5424 in exponential form is:

5424 = 2⁴ × 3¹ × 113¹

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 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712

Step-4: Factors of 5440

List of positive integer factors of 5440 that divides 5424 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 5424 and 5440. The biggest common factor number is the GCF number.
So the greatest common factor 5424 and 5440 is 16.

Also check out the Least Common Multiple of 5424 and 5440