Greatest Common Factor of 1497 and 1503

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 1497, 1503 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1497 and 1503 is 3.

GCF(1497,1503) = 3

GCF of 1497 and 1503

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

GCF of:
and

Greatest Common Factor of 1497 and 1503

GCF of 1497 and 1503 is 3

Prime Factorization of 1497


3 1497
499 499
1

Prime factors of 1497 are 3,499. Prime factorization of 1497 in exponential form is:

1497 = 31×4991

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

∴ So by taking common prime factors GCF of 1497 and 1503 is 3

Greatest Common Factor of 1497 and 1503 by matching factors method

Factors of 1497

List of positive integer factors of 1497 that divides 1497 without a remainder.

1,3,499,1497

Factors of 1503

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

1,3,9,167,501,1503

Greatest Common Factor

We found the factors and prime factorization of 1497 and 1503. The biggest common factor number is the GCF number.
So the greatest common factor 1497 and 1503 is 3.

Also check out the Least Common Multiple of 1497 and 1503

Properties of GCF 1497 and 1503

(i) The GCF of 1497 and 1503 is associative

GCF of 1497 and 1503 = GCF of 1503 and 1497

Related Greatest Common Factor of 1497

Related Greatest Common Factor of 1503

Frequently Asked Questions on GCF of 1497 and 1503

1. What is the GCF of 1497 and 1503?

Answer: GCF of 1497 and 1503 is 3.

2. What are the Factors of 1497?

Answer: Factors of 1497 are 1, 3, 499, 1497. There are 4 integers that are factors of 1497. The greatest factor of 1497 is 1497.

3. 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.

4. How to Find the GCF of 1497 and 1503?

Answer:

Greatest Common Factor of 1497 and 1503 = 3

Step 1: Find the prime factorization of 1497

1497 = 3 x 499

Step 2: Find the prime factorization of 1503

1503 = 3 x 3 x 167

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 1497 and 1503 is 3