What is the Greatest Common Factor of 495 and 506?

Greatest common factor (GCF) of 495 and 506 is 11.

GCF(495,506) = 11

We will now calculate the prime factors of 495 and 506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 495 and 506.

How to find the GCF of 495 and 506?

We will first find the prime factorization of 495 and 506. After we will calculate the factors of 495 and 506 and find the biggest common factor number .

Step-1: Prime Factorization of 495

Prime factors of 495 are 3, 5, 11. Prime factorization of 495 in exponential form is:

495 = 3² × 5¹ × 11¹

Step-2: Prime Factorization of 506

Prime factors of 506 are 2, 11, 23. Prime factorization of 506 in exponential form is:

506 = 2¹ × 11¹ × 23¹

Step-3: Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165

Step-4: Factors of 506

List of positive integer factors of 506 that divides 495 without a remainder.

1, 2, 11, 22, 23, 46, 253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 495 and 506. The biggest common factor number is the GCF number.
So the greatest common factor 495 and 506 is 11.

Also check out the Least Common Multiple of 495 and 506