What is the Greatest Common Factor of 6540 and 6554?

Greatest common factor (GCF) of 6540 and 6554 is 2.

GCF(6540,6554) = 2

We will now calculate the prime factors of 6540 and 6554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6540 and 6554.

How to find the GCF of 6540 and 6554?

We will first find the prime factorization of 6540 and 6554. After we will calculate the factors of 6540 and 6554 and find the biggest common factor number .

Step-1: Prime Factorization of 6540

Prime factors of 6540 are 2, 3, 5, 109. Prime factorization of 6540 in exponential form is:

6540 = 2² × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 6554

Prime factors of 6554 are 2, 29, 113. Prime factorization of 6554 in exponential form is:

6554 = 2¹ × 29¹ × 113¹

Step-3: Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270

Step-4: Factors of 6554

List of positive integer factors of 6554 that divides 6540 without a remainder.

1, 2, 29, 58, 113, 226, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6540 and 6554. The biggest common factor number is the GCF number.
So the greatest common factor 6540 and 6554 is 2.

Also check out the Least Common Multiple of 6540 and 6554