Greatest Common Factor of 498 and 503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 498, 503 i.e. 1 largest integer by which both the numbers can be divided.

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

GCF(498,503) = 1

GCF of 498 and 503

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 498 and 503

GCF of 498 and 503 is 1

Prime Factorization of 498


2 498
3 249
83 83
1

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

498 = 21×31×831

Prime Factorization of 503


503 503
1

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

503 = 5031

∴ So by taking common prime factors GCF of 498 and 503 is 1

Greatest Common Factor of 498 and 503 by matching factors method

Factors of 498

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

1,2,3,6,83,166,249,498

Factors of 503

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

1,503

Greatest Common Factor

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

Properties of GCF 498 and 503

(i) The GCF of 498 and 503 is associative

GCF of 498 and 503 = GCF of 503 and 498

Related Greatest Common Factor of 498

Related Greatest Common Factor of 503

Frequently Asked Questions on GCF of 498 and 503

1. What is the GCF of 498 and 503?

Answer: GCF of 498 and 503 is 1.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

3. What are the Factors of 503?

Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.

4. How to Find the GCF of 498 and 503?

Answer:

Greatest Common Factor of 498 and 503 = 1

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 503

503 = 503

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 498 and 503 is 1