What is the Greatest Common Factor of 546 and 562?

Greatest common factor (GCF) of 546 and 562 is 2.

GCF(546,562) = 2

We will now calculate the prime factors of 546 and 562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 546 and 562.

How to find the GCF of 546 and 562?

We will first find the prime factorization of 546 and 562. After we will calculate the factors of 546 and 562 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 562

Prime factors of 562 are 2, 281. Prime factorization of 562 in exponential form is:

562 = 2¹ × 281¹

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 562

List of positive integer factors of 562 that divides 546 without a remainder.

1, 2, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 546 and 562. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 562 is 2.

Also check out the Least Common Multiple of 546 and 562