Greatest Common Factor of 1491 and 1495

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, 1495 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1491 and 1495 is 1.

GCF(1491,1495) = 1

GCF of 1491 and 1495

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

GCF of:
and

Greatest Common Factor of 1491 and 1495

GCF of 1491 and 1495 is 1

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 1495


5 1495
13 299
23 23
1

Prime factors of 1495 are 5,13,23. Prime factorization of 1495 in exponential form is:

1495 = 51×131×231

∴ So by taking common prime factors GCF of 1491 and 1495 is 1

Greatest Common Factor of 1491 and 1495 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 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1,5,13,23,65,115,299,1495

Greatest Common Factor

We found the factors and prime factorization of 1491 and 1495. The biggest common factor number is the GCF number.
So the greatest common factor 1491 and 1495 is 1.

Also check out the Least Common Multiple of 1491 and 1495

Properties of GCF 1491 and 1495

(i) The GCF of 1491 and 1495 is associative

GCF of 1491 and 1495 = GCF of 1495 and 1491

Related Greatest Common Factor of 1491

Related Greatest Common Factor of 1495

Frequently Asked Questions on GCF of 1491 and 1495

1. What is the GCF of 1491 and 1495?

Answer: GCF of 1491 and 1495 is 1.

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 1495?

Answer: Factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495. There are 8 integers that are factors of 1495. The greatest factor of 1495 is 1495.

4. How to Find the GCF of 1491 and 1495?

Answer:

Greatest Common Factor of 1491 and 1495 = 1

Step 1: Find the prime factorization of 1491

1491 = 3 x 7 x 71

Step 2: Find the prime factorization of 1495

1495 = 5 x 13 x 23

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 1491 and 1495 is 1