Greatest Common Factor of 503 and 507

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

• Greatest Common Factor of 503 and 507 by prime factorization method
• Greatest Common Factor of 503 and 507 by matching factors method

Prime Factorization of 503

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

503 = 503¹

Prime Factorization of 507

Prime factors of 507 are 3.Prime factorization of 507 in exponential form is:

507 = 3¹×13²

∴ So by taking common prime factors GCF of 503 and 507 is 1

Factors of 503

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

1,503

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors and prime factorization of 503 and 507. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 507 is 1.

Also check out the Least Common Multiple of 503 and 507

(i) The GCF of 503 and 507 is associative

GCF of 503 and 507 = GCF of 507 and 503

1. What is the GCF of 503 and 507?

Answer: GCF of 503 and 507 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 507?

Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.

4. How to Find the GCF of 503 and 507?

Answer:

Greatest Common Factor of 503 and 507 = 1

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 507

507 = 3 x 13 x 13

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 507 is 1