What is the Greatest Common Factor of 5440 and 5457?

Greatest common factor (GCF) of 5440 and 5457 is 17.

GCF(5440,5457) = 17

We will now calculate the prime factors of 5440 and 5457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5440 and 5457.

How to find the GCF of 5440 and 5457?

We will first find the prime factorization of 5440 and 5457. After we will calculate the factors of 5440 and 5457 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5457

Prime factors of 5457 are 3, 17, 107. Prime factorization of 5457 in exponential form is:

5457 = 3¹ × 17¹ × 107¹

Step-3: Factors of 5440

List of positive integer factors of 5440 that divides 5440 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

Step-4: Factors of 5457

List of positive integer factors of 5457 that divides 5440 without a remainder.

1, 3, 17, 51, 107, 321, 1819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5440 and 5457. The biggest common factor number is the GCF number.
So the greatest common factor 5440 and 5457 is 17.

Also check out the Least Common Multiple of 5440 and 5457