What is the Greatest Common Factor of 5488 and 5492?

Greatest common factor (GCF) of 5488 and 5492 is 4.

GCF(5488,5492) = 4

We will now calculate the prime factors of 5488 and 5492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5488 and 5492.

How to find the GCF of 5488 and 5492?

We will first find the prime factorization of 5488 and 5492. After we will calculate the factors of 5488 and 5492 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 5492

Prime factors of 5492 are 2, 1373. Prime factorization of 5492 in exponential form is:

5492 = 2² × 1373¹

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 5492

List of positive integer factors of 5492 that divides 5488 without a remainder.

1, 2, 4, 1373, 2746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5488 and 5492. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5492 is 4.

Also check out the Least Common Multiple of 5488 and 5492