What is the Greatest Common Factor of 5514 and 5525?

Greatest common factor (GCF) of 5514 and 5525 is 1.

GCF(5514,5525) = 1

We will now calculate the prime factors of 5514 and 5525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5514 and 5525.

How to find the GCF of 5514 and 5525?

We will first find the prime factorization of 5514 and 5525. After we will calculate the factors of 5514 and 5525 and find the biggest common factor number .

Step-1: Prime Factorization of 5514

Prime factors of 5514 are 2, 3, 919. Prime factorization of 5514 in exponential form is:

5514 = 2¹ × 3¹ × 919¹

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 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1, 2, 3, 6, 919, 1838, 2757

Step-4: Factors of 5525

List of positive integer factors of 5525 that divides 5514 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 5514 and 5525. The biggest common factor number is the GCF number.
So the greatest common factor 5514 and 5525 is 1.

Also check out the Least Common Multiple of 5514 and 5525