What is the Greatest Common Factor of 546 and 556?

Greatest common factor (GCF) of 546 and 556 is 2.

GCF(546,556) = 2

We will now calculate the prime factors of 546 and 556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 546 and 556.

How to find the GCF of 546 and 556?

We will first find the prime factorization of 546 and 556. After we will calculate the factors of 546 and 556 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 556

Prime factors of 556 are 2, 139. Prime factorization of 556 in exponential form is:

556 = 2² × 139¹

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 556

List of positive integer factors of 556 that divides 546 without a remainder.

1, 2, 4, 139, 278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 546 and 556. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 556 is 2.

Also check out the Least Common Multiple of 546 and 556