Greatest Common Factor of 1477 and 1484

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 1477, 1484 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1477 and 1484 is 7.

GCF(1477,1484) = 7

GCF of 1477 and 1484

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

GCF of:
and

Greatest Common Factor of 1477 and 1484

GCF of 1477 and 1484 is 7

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

Prime Factorization of 1484


2 1484
2 742
7 371
53 53
1

Prime factors of 1484 are 2,7,53. Prime factorization of 1484 in exponential form is:

1484 = 22×71×531

∴ So by taking common prime factors GCF of 1477 and 1484 is 7

Greatest Common Factor of 1477 and 1484 by matching factors method

Factors of 1477

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

1,7,211,1477

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Greatest Common Factor

We found the factors and prime factorization of 1477 and 1484. The biggest common factor number is the GCF number.
So the greatest common factor 1477 and 1484 is 7.

Also check out the Least Common Multiple of 1477 and 1484

Properties of GCF 1477 and 1484

(i) The GCF of 1477 and 1484 is associative

GCF of 1477 and 1484 = GCF of 1484 and 1477

Related Greatest Common Factor of 1477

Related Greatest Common Factor of 1484

Frequently Asked Questions on GCF of 1477 and 1484

1. What is the GCF of 1477 and 1484?

Answer: GCF of 1477 and 1484 is 7.

2. 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.

3. What are the Factors of 1484?

Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.

4. How to Find the GCF of 1477 and 1484?

Answer:

Greatest Common Factor of 1477 and 1484 = 7

Step 1: Find the prime factorization of 1477

1477 = 7 x 211

Step 2: Find the prime factorization of 1484

1484 = 2 x 2 x 7 x 53

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 1477 and 1484 is 7