What is the Greatest Common Factor of 546 and 551?

Greatest common factor (GCF) of 546 and 551 is 1.

GCF(546,551) = 1

We will now calculate the prime factors of 546 and 551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 546 and 551.

How to find the GCF of 546 and 551?

We will first find the prime factorization of 546 and 551. After we will calculate the factors of 546 and 551 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 551

Prime factors of 551 are 19, 29. Prime factorization of 551 in exponential form is:

551 = 19¹ × 29¹

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 551

List of positive integer factors of 551 that divides 546 without a remainder.

1, 19, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 546 and 551. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 551 is 1.

Also check out the Least Common Multiple of 546 and 551