What is the Greatest Common Factor of 5488 and 5494?

Greatest common factor (GCF) of 5488 and 5494 is 2.

GCF(5488,5494) = 2

We will now calculate the prime factors of 5488 and 5494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5488 and 5494.

How to find the GCF of 5488 and 5494?

We will first find the prime factorization of 5488 and 5494. After we will calculate the factors of 5488 and 5494 and find the biggest common factor number .

Step-1: Prime Factorization of 5488

Prime factors of 5488 are 2, 7. Prime factorization of 5488 in exponential form is:

5488 = 2⁴ × 7³

Step-2: Prime Factorization of 5494

Prime factors of 5494 are 2, 41, 67. Prime factorization of 5494 in exponential form is:

5494 = 2¹ × 41¹ × 67¹

Step-3: Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744

Step-4: Factors of 5494

List of positive integer factors of 5494 that divides 5488 without a remainder.

1, 2, 41, 67, 82, 134, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5488 and 5494. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5494 is 2.

Also check out the Least Common Multiple of 5488 and 5494