What is the Greatest Common Factor of 5556 and 5565?

Greatest common factor (GCF) of 5556 and 5565 is 3.

GCF(5556,5565) = 3

We will now calculate the prime factors of 5556 and 5565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5556 and 5565.

How to find the GCF of 5556 and 5565?

We will first find the prime factorization of 5556 and 5565. After we will calculate the factors of 5556 and 5565 and find the biggest common factor number .

Step-1: Prime Factorization of 5556

Prime factors of 5556 are 2, 3, 463. Prime factorization of 5556 in exponential form is:

5556 = 2² × 3¹ × 463¹

Step-2: Prime Factorization of 5565

Prime factors of 5565 are 3, 5, 7, 53. Prime factorization of 5565 in exponential form is:

5565 = 3¹ × 5¹ × 7¹ × 53¹

Step-3: Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778

Step-4: Factors of 5565

List of positive integer factors of 5565 that divides 5556 without a remainder.

1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5556 and 5565. The biggest common factor number is the GCF number.
So the greatest common factor 5556 and 5565 is 3.

Also check out the Least Common Multiple of 5556 and 5565