What is the Greatest Common Factor of 3540 and 3552?

Greatest common factor (GCF) of 3540 and 3552 is 12.

GCF(3540,3552) = 12

We will now calculate the prime factors of 3540 and 3552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3540 and 3552.

How to find the GCF of 3540 and 3552?

We will first find the prime factorization of 3540 and 3552. After we will calculate the factors of 3540 and 3552 and find the biggest common factor number .

Step-1: Prime Factorization of 3540

Prime factors of 3540 are 2, 3, 5, 59. Prime factorization of 3540 in exponential form is:

3540 = 2² × 3¹ × 5¹ × 59¹

Step-2: 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-3: Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770

Step-4: Factors of 3552

List of positive integer factors of 3552 that divides 3540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3540 and 3552. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3552 is 12.

Also check out the Least Common Multiple of 3540 and 3552