Greatest Common Factor of 1484 and 1491

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 1484, 1491 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1484 and 1491 is 7.

GCF(1484,1491) = 7

GCF of 1484 and 1491

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

GCF of:
and

Greatest Common Factor of 1484 and 1491

GCF of 1484 and 1491 is 7

Prime Factorization of 1484


2 1484
2 742
7 371
53 53
1

Prime factors of 1484 are 2,7,53. Prime factorization of 1484 in exponential form is:

1484 = 22×71×531

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

∴ So by taking common prime factors GCF of 1484 and 1491 is 7

Greatest Common Factor of 1484 and 1491 by matching factors method

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Factors of 1491

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

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

Greatest Common Factor

We found the factors and prime factorization of 1484 and 1491. The biggest common factor number is the GCF number.
So the greatest common factor 1484 and 1491 is 7.

Also check out the Least Common Multiple of 1484 and 1491

Properties of GCF 1484 and 1491

(i) The GCF of 1484 and 1491 is associative

GCF of 1484 and 1491 = GCF of 1491 and 1484

Related Greatest Common Factor of 1484

Related Greatest Common Factor of 1491

Frequently Asked Questions on GCF of 1484 and 1491

1. What is the GCF of 1484 and 1491?

Answer: GCF of 1484 and 1491 is 7.

2. What are the Factors of 1484?

Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.

3. 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.

4. How to Find the GCF of 1484 and 1491?

Answer:

Greatest Common Factor of 1484 and 1491 = 7

Step 1: Find the prime factorization of 1484

1484 = 2 x 2 x 7 x 53

Step 2: Find the prime factorization of 1491

1491 = 3 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1484 and 1491 is 7