Greatest Common Factor of 1503 and 1506

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 1503, 1506 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1503 and 1506 is 3.

GCF(1503,1506) = 3

GCF of 1503 and 1506

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

GCF of:
and

Greatest Common Factor of 1503 and 1506

GCF of 1503 and 1506 is 3

Prime Factorization of 1503


3 1503
3 501
167 167
1

Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:

1503 = 32×1671

Prime Factorization of 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2,3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

∴ So by taking common prime factors GCF of 1503 and 1506 is 3

Greatest Common Factor of 1503 and 1506 by matching factors method

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors and prime factorization of 1503 and 1506. The biggest common factor number is the GCF number.
So the greatest common factor 1503 and 1506 is 3.

Also check out the Least Common Multiple of 1503 and 1506

Properties of GCF 1503 and 1506

(i) The GCF of 1503 and 1506 is associative

GCF of 1503 and 1506 = GCF of 1506 and 1503

Related Greatest Common Factor of 1503

Related Greatest Common Factor of 1506

Frequently Asked Questions on GCF of 1503 and 1506

1. What is the GCF of 1503 and 1506?

Answer: GCF of 1503 and 1506 is 3.

2. What are the Factors of 1503?

Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.

3. What are the Factors of 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

4. How to Find the GCF of 1503 and 1506?

Answer:

Greatest Common Factor of 1503 and 1506 = 3

Step 1: Find the prime factorization of 1503

1503 = 3 x 3 x 167

Step 2: Find the prime factorization of 1506

1506 = 2 x 3 x 251

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1503 and 1506 is 3