What is the Greatest Common Factor of 5516 and 5525?

Greatest common factor (GCF) of 5516 and 5525 is 1.

GCF(5516,5525) = 1

We will now calculate the prime factors of 5516 and 5525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5516 and 5525.

How to find the GCF of 5516 and 5525?

We will first find the prime factorization of 5516 and 5525. After we will calculate the factors of 5516 and 5525 and find the biggest common factor number .

Step-1: Prime Factorization of 5516

Prime factors of 5516 are 2, 7, 197. Prime factorization of 5516 in exponential form is:

5516 = 2² × 7¹ × 197¹

Step-2: 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-3: Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758

Step-4: Factors of 5525

List of positive integer factors of 5525 that divides 5516 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5516 and 5525. The biggest common factor number is the GCF number.
So the greatest common factor 5516 and 5525 is 1.

Also check out the Least Common Multiple of 5516 and 5525