Greatest Common Factor of 466 and 474

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 466, 474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 466 and 474 is 2.

GCF(466,474) = 2

GCF of 466 and 474

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

GCF of:
and

Greatest Common Factor of 466 and 474

GCF of 466 and 474 is 2

Prime Factorization of 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

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

∴ So by taking common prime factors GCF of 466 and 474 is 2

Greatest Common Factor of 466 and 474 by matching factors method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 474

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

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

Greatest Common Factor

We found the factors and prime factorization of 466 and 474. The biggest common factor number is the GCF number.
So the greatest common factor 466 and 474 is 2.

Also check out the Least Common Multiple of 466 and 474

Properties of GCF 466 and 474

(i) The GCF of 466 and 474 is associative

GCF of 466 and 474 = GCF of 474 and 466

Related Greatest Common Factor of 466

Related Greatest Common Factor of 474

Frequently Asked Questions on GCF of 466 and 474

1. What is the GCF of 466 and 474?

Answer: GCF of 466 and 474 is 2.

2. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

3. 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.

4. How to Find the GCF of 466 and 474?

Answer:

Greatest Common Factor of 466 and 474 = 2

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 474

474 = 2 x 3 x 79

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 466 and 474 is 2