Greatest Common Factor of 1470 and 1476

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 1470, 1476 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1470 and 1476 is 6.

GCF(1470,1476) = 6

GCF of 1470 and 1476

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

GCF of:
and

Greatest Common Factor of 1470 and 1476

GCF of 1470 and 1476 is 6

Prime Factorization of 1470


2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 1470 are 2,3,5,7. Prime factorization of 1470 in exponential form is:

1470 = 21×31×51×72

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

∴ So by taking common prime factors GCF of 1470 and 1476 is 6

Greatest Common Factor of 1470 and 1476 by matching factors method

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

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

Greatest Common Factor

We found the factors and prime factorization of 1470 and 1476. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1476 is 6.

Also check out the Least Common Multiple of 1470 and 1476

Properties of GCF 1470 and 1476

(i) The GCF of 1470 and 1476 is associative

GCF of 1470 and 1476 = GCF of 1476 and 1470

Related Greatest Common Factor of 1470

Related Greatest Common Factor of 1476

Frequently Asked Questions on GCF of 1470 and 1476

1. What is the GCF of 1470 and 1476?

Answer: GCF of 1470 and 1476 is 6.

2. What are the Factors of 1470?

Answer: Factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470. There are 24 integers that are factors of 1470. The greatest factor of 1470 is 1470.

3. 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.

4. How to Find the GCF of 1470 and 1476?

Answer:

Greatest Common Factor of 1470 and 1476 = 6

Step 1: Find the prime factorization of 1470

1470 = 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1470 and 1476 is 6