What is the Greatest Common Factor of 5509 and 5528?

Greatest common factor (GCF) of 5509 and 5528 is 1.

GCF(5509,5528) = 1

We will now calculate the prime factors of 5509 and 5528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5509 and 5528.

How to find the GCF of 5509 and 5528?

We will first find the prime factorization of 5509 and 5528. After we will calculate the factors of 5509 and 5528 and find the biggest common factor number .

Step-1: Prime Factorization of 5509

Prime factors of 5509 are 7, 787. Prime factorization of 5509 in exponential form is:

5509 = 7¹ × 787¹

Step-2: Prime Factorization of 5528

Prime factors of 5528 are 2, 691. Prime factorization of 5528 in exponential form is:

5528 = 2³ × 691¹

Step-3: Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1, 7, 787

Step-4: Factors of 5528

List of positive integer factors of 5528 that divides 5509 without a remainder.

1, 2, 4, 8, 691, 1382, 2764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5509 and 5528. The biggest common factor number is the GCF number.
So the greatest common factor 5509 and 5528 is 1.

Also check out the Least Common Multiple of 5509 and 5528