Greatest Common Factor of 474 and 478

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, 478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 474 and 478 is 2.

GCF(474,478) = 2

GCF of 474 and 478

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

GCF of:
and

Greatest Common Factor of 474 and 478

GCF of 474 and 478 is 2

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 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

∴ So by taking common prime factors GCF of 474 and 478 is 2

Greatest Common Factor of 474 and 478 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 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors and prime factorization of 474 and 478. The biggest common factor number is the GCF number.
So the greatest common factor 474 and 478 is 2.

Also check out the Least Common Multiple of 474 and 478

Properties of GCF 474 and 478

(i) The GCF of 474 and 478 is associative

GCF of 474 and 478 = GCF of 478 and 474

Related Greatest Common Factor of 474

Related Greatest Common Factor of 478

Frequently Asked Questions on GCF of 474 and 478

1. What is the GCF of 474 and 478?

Answer: GCF of 474 and 478 is 2.

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 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

4. How to Find the GCF of 474 and 478?

Answer:

Greatest Common Factor of 474 and 478 = 2

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 478

478 = 2 x 239

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

GCF = 2

Step 4: Therefore, the greatest common factor of 474 and 478 is 2