What is the Greatest Common Factor of 5564 and 5574?

Greatest common factor (GCF) of 5564 and 5574 is 2.

GCF(5564,5574) = 2

We will now calculate the prime factors of 5564 and 5574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5564 and 5574.

How to find the GCF of 5564 and 5574?

We will first find the prime factorization of 5564 and 5574. After we will calculate the factors of 5564 and 5574 and find the biggest common factor number .

Step-1: Prime Factorization of 5564

Prime factors of 5564 are 2, 13, 107. Prime factorization of 5564 in exponential form is:

5564 = 2² × 13¹ × 107¹

Step-2: Prime Factorization of 5574

Prime factors of 5574 are 2, 3, 929. Prime factorization of 5574 in exponential form is:

5574 = 2¹ × 3¹ × 929¹

Step-3: Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782

Step-4: Factors of 5574

List of positive integer factors of 5574 that divides 5564 without a remainder.

1, 2, 3, 6, 929, 1858, 2787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5564 and 5574. The biggest common factor number is the GCF number.
So the greatest common factor 5564 and 5574 is 2.

Also check out the Least Common Multiple of 5564 and 5574