What is the Greatest Common Factor of 5524 and 5542?

Greatest common factor (GCF) of 5524 and 5542 is 2.

GCF(5524,5542) = 2

We will now calculate the prime factors of 5524 and 5542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5524 and 5542.

How to find the GCF of 5524 and 5542?

We will first find the prime factorization of 5524 and 5542. After we will calculate the factors of 5524 and 5542 and find the biggest common factor number .

Step-1: Prime Factorization of 5524

Prime factors of 5524 are 2, 1381. Prime factorization of 5524 in exponential form is:

5524 = 2² × 1381¹

Step-2: Prime Factorization of 5542

Prime factors of 5542 are 2, 17, 163. Prime factorization of 5542 in exponential form is:

5542 = 2¹ × 17¹ × 163¹

Step-3: Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762

Step-4: Factors of 5542

List of positive integer factors of 5542 that divides 5524 without a remainder.

1, 2, 17, 34, 163, 326, 2771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5524 and 5542. The biggest common factor number is the GCF number.
So the greatest common factor 5524 and 5542 is 2.

Also check out the Least Common Multiple of 5524 and 5542