Greatest Common Factor of 458 and 462

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 458, 462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 458 and 462 is 2.

GCF(458,462) = 2

GCF of 458 and 462

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

GCF of:
and

Greatest Common Factor of 458 and 462

GCF of 458 and 462 is 2

Prime Factorization of 458


2 458
229 229
1

Prime factors of 458 are 2,229. Prime factorization of 458 in exponential form is:

458 = 21×2291

Prime Factorization of 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2,3,7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

∴ So by taking common prime factors GCF of 458 and 462 is 2

Greatest Common Factor of 458 and 462 by matching factors method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors and prime factorization of 458 and 462. The biggest common factor number is the GCF number.
So the greatest common factor 458 and 462 is 2.

Also check out the Least Common Multiple of 458 and 462

Properties of GCF 458 and 462

(i) The GCF of 458 and 462 is associative

GCF of 458 and 462 = GCF of 462 and 458

Related Greatest Common Factor of 458

Related Greatest Common Factor of 462

Frequently Asked Questions on GCF of 458 and 462

1. What is the GCF of 458 and 462?

Answer: GCF of 458 and 462 is 2.

2. What are the Factors of 458?

Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.

3. What are the Factors of 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

4. How to Find the GCF of 458 and 462?

Answer:

Greatest Common Factor of 458 and 462 = 2

Step 1: Find the prime factorization of 458

458 = 2 x 229

Step 2: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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 458 and 462 is 2