What is the Greatest Common Factor of 5560 and 5578?

Greatest common factor (GCF) of 5560 and 5578 is 2.

GCF(5560,5578) = 2

We will now calculate the prime factors of 5560 and 5578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5560 and 5578.

How to find the GCF of 5560 and 5578?

We will first find the prime factorization of 5560 and 5578. After we will calculate the factors of 5560 and 5578 and find the biggest common factor number .

Step-1: Prime Factorization of 5560

Prime factors of 5560 are 2, 5, 139. Prime factorization of 5560 in exponential form is:

5560 = 2³ × 5¹ × 139¹

Step-2: Prime Factorization of 5578

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

5578 = 2¹ × 2789¹

Step-3: Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780

Step-4: Factors of 5578

List of positive integer factors of 5578 that divides 5560 without a remainder.

1, 2, 2789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5560 and 5578. The biggest common factor number is the GCF number.
So the greatest common factor 5560 and 5578 is 2.

Also check out the Least Common Multiple of 5560 and 5578