Greatest Common Factor of 474 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 474, 477 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 474 and 477 is 3.

GCF(474,477) = 3

GCF of 474 and 477

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

GCF of:
and

Greatest Common Factor of 474 and 477

GCF of 474 and 477 is 3

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2,3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

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 474 and 477 is 3

Greatest Common Factor of 474 and 477 by matching factors method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

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 474 and 477. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 477 is 3.

Also check out the Least Common Multiple of 474 and 477

Properties of GCF 474 and 477

(i) The GCF of 474 and 477 is associative

GCF of 474 and 477 = GCF of 477 and 474

Related Greatest Common Factor of 474

Related Greatest Common Factor of 477

Frequently Asked Questions on GCF of 474 and 477

1. What is the GCF of 474 and 477?

Answer: GCF of 474 and 477 is 3.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

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 474 and 477?

Answer:

Greatest Common Factor of 474 and 477 = 3

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

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 = 3

Step 4: Therefore, the greatest common factor of 474 and 477 is 3