What is the Greatest Common Factor of 546 and 563?

Greatest common factor (GCF) of 546 and 563 is 1.

GCF(546,563) = 1

We will now calculate the prime factors of 546 and 563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 546 and 563.

How to find the GCF of 546 and 563?

We will first find the prime factorization of 546 and 563. After we will calculate the factors of 546 and 563 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 563

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 563¹

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 563

List of positive integer factors of 563 that divides 546 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 546 and 563. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 563 is 1.

Also check out the Least Common Multiple of 546 and 563