What is the Greatest Common Factor of 5440 and 5458?

Greatest common factor (GCF) of 5440 and 5458 is 2.

GCF(5440,5458) = 2

We will now calculate the prime factors of 5440 and 5458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5440 and 5458.

How to find the GCF of 5440 and 5458?

We will first find the prime factorization of 5440 and 5458. After we will calculate the factors of 5440 and 5458 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 5458

Prime factors of 5458 are 2, 2729. Prime factorization of 5458 in exponential form is:

5458 = 2¹ × 2729¹

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 5458

List of positive integer factors of 5458 that divides 5440 without a remainder.

1, 2, 2729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5440 and 5458. The biggest common factor number is the GCF number.
So the greatest common factor 5440 and 5458 is 2.

Also check out the Least Common Multiple of 5440 and 5458