What is the Greatest Common Factor of 5525 and 5538?

Greatest common factor (GCF) of 5525 and 5538 is 13.

GCF(5525,5538) = 13

We will now calculate the prime factors of 5525 and 5538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5525 and 5538.

How to find the GCF of 5525 and 5538?

We will first find the prime factorization of 5525 and 5538. After we will calculate the factors of 5525 and 5538 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 5538

Prime factors of 5538 are 2, 3, 13, 71. Prime factorization of 5538 in exponential form is:

5538 = 2¹ × 3¹ × 13¹ × 71¹

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 5538

List of positive integer factors of 5538 that divides 5525 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5525 and 5538. The biggest common factor number is the GCF number.
So the greatest common factor 5525 and 5538 is 13.

Also check out the Least Common Multiple of 5525 and 5538