What is the Greatest Common Factor of 5525 and 5542?

Greatest common factor (GCF) of 5525 and 5542 is 17.

GCF(5525,5542) = 17

We will now calculate the prime factors of 5525 and 5542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5525 and 5542.

How to find the GCF of 5525 and 5542?

We will first find the prime factorization of 5525 and 5542. After we will calculate the factors of 5525 and 5542 and find the biggest common factor number .

Step-1: Prime Factorization of 5525

Prime factors of 5525 are 5, 13, 17. Prime factorization of 5525 in exponential form is:

5525 = 5² × 13¹ × 17¹

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 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105

Step-4: Factors of 5542

List of positive integer factors of 5542 that divides 5525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5525 and 5542. The biggest common factor number is the GCF number.
So the greatest common factor 5525 and 5542 is 17.

Also check out the Least Common Multiple of 5525 and 5542