What is the Greatest Common Factor of 3552 and 3561?

Greatest common factor (GCF) of 3552 and 3561 is 3.

GCF(3552,3561) = 3

We will now calculate the prime factors of 3552 and 3561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3552 and 3561.

How to find the GCF of 3552 and 3561?

We will first find the prime factorization of 3552 and 3561. After we will calculate the factors of 3552 and 3561 and find the biggest common factor number .

Step-1: Prime Factorization of 3552

Prime factors of 3552 are 2, 3, 37. Prime factorization of 3552 in exponential form is:

3552 = 2⁵ × 3¹ × 37¹

Step-2: Prime Factorization of 3561

Prime factors of 3561 are 3, 1187. Prime factorization of 3561 in exponential form is:

3561 = 3¹ × 1187¹

Step-3: Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776

Step-4: Factors of 3561

List of positive integer factors of 3561 that divides 3552 without a remainder.

1, 3, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3552 and 3561. The biggest common factor number is the GCF number.
So the greatest common factor 3552 and 3561 is 3.

Also check out the Least Common Multiple of 3552 and 3561