Greatest Common Factor of 1470 and 1477

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, 1477 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1470 and 1477 is 7.

GCF(1470,1477) = 7

GCF of 1470 and 1477

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

GCF of:
and

Greatest Common Factor of 1470 and 1477

GCF of 1470 and 1477 is 7

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 1477


7 1477
211 211
1

Prime factors of 1477 are 7,211. Prime factorization of 1477 in exponential form is:

1477 = 71×2111

∴ So by taking common prime factors GCF of 1470 and 1477 is 7

Greatest Common Factor of 1470 and 1477 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 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1,7,211,1477

Greatest Common Factor

We found the factors and prime factorization of 1470 and 1477. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1477 is 7.

Also check out the Least Common Multiple of 1470 and 1477

Properties of GCF 1470 and 1477

(i) The GCF of 1470 and 1477 is associative

GCF of 1470 and 1477 = GCF of 1477 and 1470

Related Greatest Common Factor of 1470

Related Greatest Common Factor of 1477

Frequently Asked Questions on GCF of 1470 and 1477

1. What is the GCF of 1470 and 1477?

Answer: GCF of 1470 and 1477 is 7.

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 1477?

Answer: Factors of 1477 are 1, 7, 211, 1477. There are 4 integers that are factors of 1477. The greatest factor of 1477 is 1477.

4. How to Find the GCF of 1470 and 1477?

Answer:

Greatest Common Factor of 1470 and 1477 = 7

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 1477

1477 = 7 x 211

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1470 and 1477 is 7