Greatest Common Factor of 1470 and 1475

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, 1475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1470 and 1475 is 5.

GCF(1470,1475) = 5

GCF of 1470 and 1475

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

GCF of:
and

Greatest Common Factor of 1470 and 1475

GCF of 1470 and 1475 is 5

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 1475


5 1475
5 295
59 59
1

Prime factors of 1475 are 5,59. Prime factorization of 1475 in exponential form is:

1475 = 52×591

∴ So by taking common prime factors GCF of 1470 and 1475 is 5

Greatest Common Factor of 1470 and 1475 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 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Greatest Common Factor

We found the factors and prime factorization of 1470 and 1475. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1475 is 5.

Also check out the Least Common Multiple of 1470 and 1475

Properties of GCF 1470 and 1475

(i) The GCF of 1470 and 1475 is associative

GCF of 1470 and 1475 = GCF of 1475 and 1470

Related Greatest Common Factor of 1470

Related Greatest Common Factor of 1475

Frequently Asked Questions on GCF of 1470 and 1475

1. What is the GCF of 1470 and 1475?

Answer: GCF of 1470 and 1475 is 5.

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 1475?

Answer: Factors of 1475 are 1, 5, 25, 59, 295, 1475. There are 6 integers that are factors of 1475. The greatest factor of 1475 is 1475.

4. How to Find the GCF of 1470 and 1475?

Answer:

Greatest Common Factor of 1470 and 1475 = 5

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 1475

1475 = 5 x 5 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1470 and 1475 is 5