What is the Greatest Common Factor of 534 and 546?

Greatest common factor (GCF) of 534 and 546 is 6.

GCF(534,546) = 6

We will now calculate the prime factors of 534 and 546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 534 and 546.

How to find the GCF of 534 and 546?

We will first find the prime factorization of 534 and 546. After we will calculate the factors of 534 and 546 and find the biggest common factor number .

Step-1: Prime Factorization of 534

Prime factors of 534 are 2, 3, 89. Prime factorization of 534 in exponential form is:

534 = 2¹ × 3¹ × 89¹

Step-2: 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-3: Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267

Step-4: Factors of 546

List of positive integer factors of 546 that divides 534 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 534 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 534 and 546 is 6.

Also check out the Least Common Multiple of 534 and 546