Greatest Common Factor of 1470 and 1473

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, 1473 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1470 and 1473 is 3.

GCF(1470,1473) = 3

GCF of 1470 and 1473

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

GCF of:
and

Greatest Common Factor of 1470 and 1473

GCF of 1470 and 1473 is 3

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 1473


3 1473
491 491
1

Prime factors of 1473 are 3,491. Prime factorization of 1473 in exponential form is:

1473 = 31×4911

∴ So by taking common prime factors GCF of 1470 and 1473 is 3

Greatest Common Factor of 1470 and 1473 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 1473

List of positive integer factors of 1473 that divides 1473 without a remainder.

1,3,491,1473

Greatest Common Factor

We found the factors and prime factorization of 1470 and 1473. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1473 is 3.

Also check out the Least Common Multiple of 1470 and 1473

Properties of GCF 1470 and 1473

(i) The GCF of 1470 and 1473 is associative

GCF of 1470 and 1473 = GCF of 1473 and 1470

Related Greatest Common Factor of 1470

Related Greatest Common Factor of 1473

Frequently Asked Questions on GCF of 1470 and 1473

1. What is the GCF of 1470 and 1473?

Answer: GCF of 1470 and 1473 is 3.

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 1473?

Answer: Factors of 1473 are 1, 3, 491, 1473. There are 4 integers that are factors of 1473. The greatest factor of 1473 is 1473.

4. How to Find the GCF of 1470 and 1473?

Answer:

Greatest Common Factor of 1470 and 1473 = 3

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 1473

1473 = 3 x 491

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 1470 and 1473 is 3