What is the Greatest Common Factor of 492 and 509?

Greatest common factor (GCF) of 492 and 509 is 1.

GCF(492,509) = 1

We will now calculate the prime factors of 492 and 509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 492 and 509.

How to find the GCF of 492 and 509?

We will first find the prime factorization of 492 and 509. After we will calculate the factors of 492 and 509 and find the biggest common factor number .

Step-1: Prime Factorization of 492

Prime factors of 492 are 2, 3, 41. Prime factorization of 492 in exponential form is:

492 = 2² × 3¹ × 41¹

Step-2: Prime Factorization of 509

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 509¹

Step-3: Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246

Step-4: Factors of 509

List of positive integer factors of 509 that divides 492 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 492 and 509. The biggest common factor number is the GCF number.
So the greatest common factor 492 and 509 is 1.

Also check out the Least Common Multiple of 492 and 509