Greatest Common Factor of 503 and 508

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

Greatest common factor (GCF) of 503 and 508 is 1.

GCF(503,508) = 1

GCF of 503 and 508

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

GCF of:
and

Greatest Common Factor of 503 and 508

GCF of 503 and 508 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 508


2 508
2 254
127 127
1

Prime factors of 508 are 2.Prime factorization of 508 in exponential form is:

508 = 22×1271

∴ So by taking common prime factors GCF of 503 and 508 is 1

Greatest Common Factor of 503 and 508 by matching factors method

Factors of 503

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

1,503

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors and prime factorization of 503 and 508. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 508 is 1.

Also check out the Least Common Multiple of 503 and 508

Properties of GCF 503 and 508

(i) The GCF of 503 and 508 is associative

GCF of 503 and 508 = GCF of 508 and 503

Related Greatest Common Factor of 503

Related Greatest Common Factor of 508

Frequently Asked Questions on GCF of 503 and 508

1. What is the GCF of 503 and 508?

Answer: GCF of 503 and 508 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 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the GCF of 503 and 508?

Answer:

Greatest Common Factor of 503 and 508 = 1

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 508

508 = 2 x 2 x 127

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 508 is 1