What is the Greatest Common Factor of 519 and 534?

Greatest common factor (GCF) of 519 and 534 is 3.

GCF(519,534) = 3

We will now calculate the prime factors of 519 and 534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 519 and 534.

How to find the GCF of 519 and 534?

We will first find the prime factorization of 519 and 534. After we will calculate the factors of 519 and 534 and find the biggest common factor number .

Step-1: Prime Factorization of 519

Prime factors of 519 are 3, 173. Prime factorization of 519 in exponential form is:

519 = 3¹ × 173¹

Step-2: 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-3: Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1, 3, 173

Step-4: Factors of 534

List of positive integer factors of 534 that divides 519 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 519 and 534. The biggest common factor number is the GCF number.
So the greatest common factor 519 and 534 is 3.

Also check out the Least Common Multiple of 519 and 534