Greatest Common Factor of 1479 and 1485

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 1479, 1485 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1479 and 1485 is 3.

GCF(1479,1485) = 3

GCF of 1479 and 1485

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

GCF of:
and

Greatest Common Factor of 1479 and 1485

GCF of 1479 and 1485 is 3

Prime Factorization of 1479


3 1479
17 493
29 29
1

Prime factors of 1479 are 3,17,29. Prime factorization of 1479 in exponential form is:

1479 = 31×171×291

Prime Factorization of 1485


3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 1485 are 3,5,11. Prime factorization of 1485 in exponential form is:

1485 = 33×51×111

∴ So by taking common prime factors GCF of 1479 and 1485 is 3

Greatest Common Factor of 1479 and 1485 by matching factors method

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485

Greatest Common Factor

We found the factors and prime factorization of 1479 and 1485. The biggest common factor number is the GCF number.
So the greatest common factor 1479 and 1485 is 3.

Also check out the Least Common Multiple of 1479 and 1485

Properties of GCF 1479 and 1485

(i) The GCF of 1479 and 1485 is associative

GCF of 1479 and 1485 = GCF of 1485 and 1479

Related Greatest Common Factor of 1479

Related Greatest Common Factor of 1485

Frequently Asked Questions on GCF of 1479 and 1485

1. What is the GCF of 1479 and 1485?

Answer: GCF of 1479 and 1485 is 3.

2. What are the Factors of 1479?

Answer: Factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479. There are 8 integers that are factors of 1479. The greatest factor of 1479 is 1479.

3. What are the Factors of 1485?

Answer: Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. There are 16 integers that are factors of 1485. The greatest factor of 1485 is 1485.

4. How to Find the GCF of 1479 and 1485?

Answer:

Greatest Common Factor of 1479 and 1485 = 3

Step 1: Find the prime factorization of 1479

1479 = 3 x 17 x 29

Step 2: Find the prime factorization of 1485

1485 = 3 x 3 x 3 x 5 x 11

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 1479 and 1485 is 3