What is the Greatest Common Factor of 3540 and 3554?

Greatest common factor (GCF) of 3540 and 3554 is 2.

GCF(3540,3554) = 2

We will now calculate the prime factors of 3540 and 3554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3540 and 3554.

How to find the GCF of 3540 and 3554?

We will first find the prime factorization of 3540 and 3554. After we will calculate the factors of 3540 and 3554 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 3554

Prime factors of 3554 are 2, 1777. Prime factorization of 3554 in exponential form is:

3554 = 2¹ × 1777¹

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 3554

List of positive integer factors of 3554 that divides 3540 without a remainder.

1, 2, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3540 and 3554. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3554 is 2.

Also check out the Least Common Multiple of 3540 and 3554