What is the Greatest Common Factor of 3540 and 3547?

Greatest common factor (GCF) of 3540 and 3547 is 1.

GCF(3540,3547) = 1

We will now calculate the prime factors of 3540 and 3547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3540 and 3547.

How to find the GCF of 3540 and 3547?

We will first find the prime factorization of 3540 and 3547. After we will calculate the factors of 3540 and 3547 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 3547

Prime factors of 3547 are 3547. Prime factorization of 3547 in exponential form is:

3547 = 3547¹

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 3547

List of positive integer factors of 3547 that divides 3540 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3540 and 3547. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3547 is 1.

Also check out the Least Common Multiple of 3540 and 3547