What is the Greatest Common Factor of 5578 and 5587?

Greatest common factor (GCF) of 5578 and 5587 is 1.

GCF(5578,5587) = 1

We will now calculate the prime factors of 5578 and 5587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5578 and 5587.

How to find the GCF of 5578 and 5587?

We will first find the prime factorization of 5578 and 5587. After we will calculate the factors of 5578 and 5587 and find the biggest common factor number .

Step-1: Prime Factorization of 5578

Prime factors of 5578 are 2, 2789. Prime factorization of 5578 in exponential form is:

5578 = 2¹ × 2789¹

Step-2: Prime Factorization of 5587

Prime factors of 5587 are 37, 151. Prime factorization of 5587 in exponential form is:

5587 = 37¹ × 151¹

Step-3: Factors of 5578

List of positive integer factors of 5578 that divides 5578 without a remainder.

1, 2, 2789

Step-4: Factors of 5587

List of positive integer factors of 5587 that divides 5578 without a remainder.

1, 37, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5578 and 5587. The biggest common factor number is the GCF number.
So the greatest common factor 5578 and 5587 is 1.

Also check out the Least Common Multiple of 5578 and 5587