What is the Greatest Common Factor of 3540 and 3546?

Greatest common factor (GCF) of 3540 and 3546 is 6.

GCF(3540,3546) = 6

We will now calculate the prime factors of 3540 and 3546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3540 and 3546.

How to find the GCF of 3540 and 3546?

We will first find the prime factorization of 3540 and 3546. After we will calculate the factors of 3540 and 3546 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 3546

Prime factors of 3546 are 2, 3, 197. Prime factorization of 3546 in exponential form is:

3546 = 2¹ × 3² × 197¹

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 3546

List of positive integer factors of 3546 that divides 3540 without a remainder.

1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3540 and 3546. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3546 is 6.

Also check out the Least Common Multiple of 3540 and 3546