Greatest Common Factor of 469 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 469, 476 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 469 and 476 is 7.

GCF(469,476) = 7

GCF of 469 and 476

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

GCF of:
and

Greatest Common Factor of 469 and 476

GCF of 469 and 476 is 7

Prime Factorization of 469


7 469
67 67
1

Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:

469 = 71×671

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 469 and 476 is 7

Greatest Common Factor of 469 and 476 by matching factors method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

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 469 and 476. The biggest common factor number is the GCF number.
So the greatest common factor 469 and 476 is 7.

Also check out the Least Common Multiple of 469 and 476

Properties of GCF 469 and 476

(i) The GCF of 469 and 476 is associative

GCF of 469 and 476 = GCF of 476 and 469

Related Greatest Common Factor of 469

Related Greatest Common Factor of 476

Frequently Asked Questions on GCF of 469 and 476

1. What is the GCF of 469 and 476?

Answer: GCF of 469 and 476 is 7.

2. What are the Factors of 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

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 469 and 476?

Answer:

Greatest Common Factor of 469 and 476 = 7

Step 1: Find the prime factorization of 469

469 = 7 x 67

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 = 7

Step 4: Therefore, the greatest common factor of 469 and 476 is 7