Greatest Common Factor of 476 and 477

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 476, 477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 476 and 477 is 1.

GCF(476,477) = 1

GCF of 476 and 477

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

GCF of:
and

Greatest Common Factor of 476 and 477

GCF of 476 and 477 is 1

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2,7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

∴ So by taking common prime factors GCF of 476 and 477 is 1

Greatest Common Factor of 476 and 477 by matching factors method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors and prime factorization of 476 and 477. The biggest common factor number is the GCF number.
So the greatest common factor 476 and 477 is 1.

Also check out the Least Common Multiple of 476 and 477

Properties of GCF 476 and 477

(i) The GCF of 476 and 477 is associative

GCF of 476 and 477 = GCF of 477 and 476

Related Greatest Common Factor of 476

Related Greatest Common Factor of 477

Frequently Asked Questions on GCF of 476 and 477

1. What is the GCF of 476 and 477?

Answer: GCF of 476 and 477 is 1.

2. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

3. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

4. How to Find the GCF of 476 and 477?

Answer:

Greatest Common Factor of 476 and 477 = 1

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 477

477 = 3 x 3 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 476 and 477 is 1