Greatest Common Factor of 1491 and 1497

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 1491, 1497 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1491 and 1497 is 3.

GCF(1491,1497) = 3

GCF of 1491 and 1497

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

GCF of:
and

Greatest Common Factor of 1491 and 1497

GCF of 1491 and 1497 is 3

Prime Factorization of 1491


3 1491
7 497
71 71
1

Prime factors of 1491 are 3,7,71. Prime factorization of 1491 in exponential form is:

1491 = 31×71×711

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

∴ So by taking common prime factors GCF of 1491 and 1497 is 3

Greatest Common Factor of 1491 and 1497 by matching factors method

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1,3,7,21,71,213,497,1491

Factors of 1497

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

1,3,499,1497

Greatest Common Factor

We found the factors and prime factorization of 1491 and 1497. The biggest common factor number is the GCF number.
So the greatest common factor 1491 and 1497 is 3.

Also check out the Least Common Multiple of 1491 and 1497

Properties of GCF 1491 and 1497

(i) The GCF of 1491 and 1497 is associative

GCF of 1491 and 1497 = GCF of 1497 and 1491

Related Greatest Common Factor of 1491

Related Greatest Common Factor of 1497

Frequently Asked Questions on GCF of 1491 and 1497

1. What is the GCF of 1491 and 1497?

Answer: GCF of 1491 and 1497 is 3.

2. What are the Factors of 1491?

Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.

3. 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.

4. How to Find the GCF of 1491 and 1497?

Answer:

Greatest Common Factor of 1491 and 1497 = 3

Step 1: Find the prime factorization of 1491

1491 = 3 x 7 x 71

Step 2: Find the prime factorization of 1497

1497 = 3 x 499

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 1491 and 1497 is 3