What is the Greatest Common Factor of 498 and 503?

Greatest common factor (GCF) of 498 and 503 is 1.

GCF(498,503) = 1

We will now calculate the prime factors of 498 and 503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 498 and 503.

How to find the GCF of 498 and 503?

We will first find the prime factorization of 498 and 503. After we will calculate the factors of 498 and 503 and find the biggest common factor number .

Step-1: Prime Factorization of 498

Prime factors of 498 are 2, 3, 83. Prime factorization of 498 in exponential form is:

498 = 2¹ × 3¹ × 83¹

Step-2: Prime Factorization of 503

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 503¹

Step-3: Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249

Step-4: Factors of 503

List of positive integer factors of 503 that divides 498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 498 and 503. The biggest common factor number is the GCF number.
So the greatest common factor 498 and 503 is 1.

Also check out the Least Common Multiple of 498 and 503