Greatest Common Factor of 503 and 506

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 503, 506 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 503 and 506 is 1.

GCF(503,506) = 1

GCF of 503 and 506

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

GCF of:
and

Greatest Common Factor of 503 and 506

GCF of 503 and 506 is 1

Prime Factorization of 503


503 503
1

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

503 = 5031

Prime Factorization of 506


2 506
11 253
23 23
1

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

506 = 21×111×231

∴ So by taking common prime factors GCF of 503 and 506 is 1

Greatest Common Factor of 503 and 506 by matching factors method

Factors of 503

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

1,503

Factors of 506

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

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors and prime factorization of 503 and 506. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 506 is 1.

Also check out the Least Common Multiple of 503 and 506

Properties of GCF 503 and 506

(i) The GCF of 503 and 506 is associative

GCF of 503 and 506 = GCF of 506 and 503

Related Greatest Common Factor of 503

Related Greatest Common Factor of 506

Frequently Asked Questions on GCF of 503 and 506

1. What is the GCF of 503 and 506?

Answer: GCF of 503 and 506 is 1.

2. 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.

3. What are the Factors of 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

4. How to Find the GCF of 503 and 506?

Answer:

Greatest Common Factor of 503 and 506 = 1

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 506

506 = 2 x 11 x 23

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 503 and 506 is 1