Greatest Common Factor of 1476 and 1479

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 1476, 1479 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1476 and 1479 is 3.

GCF(1476,1479) = 3

GCF of 1476 and 1479

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

GCF of:
and

Greatest Common Factor of 1476 and 1479

GCF of 1476 and 1479 is 3

Prime Factorization of 1476


2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 1476 are 2,3,41. Prime factorization of 1476 in exponential form is:

1476 = 22×32×411

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

∴ So by taking common prime factors GCF of 1476 and 1479 is 3

Greatest Common Factor of 1476 and 1479 by matching factors method

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476

Factors of 1479

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

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

Greatest Common Factor

We found the factors and prime factorization of 1476 and 1479. The biggest common factor number is the GCF number.
So the greatest common factor 1476 and 1479 is 3.

Also check out the Least Common Multiple of 1476 and 1479

Properties of GCF 1476 and 1479

(i) The GCF of 1476 and 1479 is associative

GCF of 1476 and 1479 = GCF of 1479 and 1476

Related Greatest Common Factor of 1476

Related Greatest Common Factor of 1479

Frequently Asked Questions on GCF of 1476 and 1479

1. What is the GCF of 1476 and 1479?

Answer: GCF of 1476 and 1479 is 3.

2. What are the Factors of 1476?

Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.

3. 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.

4. How to Find the GCF of 1476 and 1479?

Answer:

Greatest Common Factor of 1476 and 1479 = 3

Step 1: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 1479

1479 = 3 x 17 x 29

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 1476 and 1479 is 3