Greatest Common Factor of 472 and 476

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 472, 476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 472 and 476 is 4.

GCF(472,476) = 4

GCF of 472 and 476

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

GCF of:
and

Greatest Common Factor of 472 and 476

GCF of 472 and 476 is 4

Prime Factorization of 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

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

∴ So by taking common prime factors GCF of 472 and 476 is 4

Greatest Common Factor of 472 and 476 by matching factors method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

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

Greatest Common Factor

We found the factors and prime factorization of 472 and 476. The biggest common factor number is the GCF number.
So the greatest common factor 472 and 476 is 4.

Also check out the Least Common Multiple of 472 and 476

Properties of GCF 472 and 476

(i) The GCF of 472 and 476 is associative

GCF of 472 and 476 = GCF of 476 and 472

Related Greatest Common Factor of 472

Related Greatest Common Factor of 476

Frequently Asked Questions on GCF of 472 and 476

1. What is the GCF of 472 and 476?

Answer: GCF of 472 and 476 is 4.

2. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

3. 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.

4. How to Find the GCF of 472 and 476?

Answer:

Greatest Common Factor of 472 and 476 = 4

Step 1: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 472 and 476 is 4