What is the Greatest Common Factor of 546 and 555?

Greatest common factor (GCF) of 546 and 555 is 3.

GCF(546,555) = 3

We will now calculate the prime factors of 546 and 555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 546 and 555.

How to find the GCF of 546 and 555?

We will first find the prime factorization of 546 and 555. After we will calculate the factors of 546 and 555 and find the biggest common factor number .

Step-1: Prime Factorization of 546

Prime factors of 546 are 2, 3, 7, 13. Prime factorization of 546 in exponential form is:

546 = 2¹ × 3¹ × 7¹ × 13¹

Step-2: Prime Factorization of 555

Prime factors of 555 are 3, 5, 37. Prime factorization of 555 in exponential form is:

555 = 3¹ × 5¹ × 37¹

Step-3: Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273

Step-4: Factors of 555

List of positive integer factors of 555 that divides 546 without a remainder.

1, 3, 5, 15, 37, 111, 185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 546 and 555. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 555 is 3.

Also check out the Least Common Multiple of 546 and 555