What is the Greatest Common Factor of 3556 and 3563?

Greatest common factor (GCF) of 3556 and 3563 is 7.

GCF(3556,3563) = 7

We will now calculate the prime factors of 3556 and 3563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3556 and 3563.

How to find the GCF of 3556 and 3563?

We will first find the prime factorization of 3556 and 3563. After we will calculate the factors of 3556 and 3563 and find the biggest common factor number .

Step-1: Prime Factorization of 3556

Prime factors of 3556 are 2, 7, 127. Prime factorization of 3556 in exponential form is:

3556 = 2² × 7¹ × 127¹

Step-2: Prime Factorization of 3563

Prime factors of 3563 are 7, 509. Prime factorization of 3563 in exponential form is:

3563 = 7¹ × 509¹

Step-3: Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778

Step-4: Factors of 3563

List of positive integer factors of 3563 that divides 3556 without a remainder.

1, 7, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3556 and 3563. The biggest common factor number is the GCF number.
So the greatest common factor 3556 and 3563 is 7.

Also check out the Least Common Multiple of 3556 and 3563