Greatest Common Factor of 6458 and 6462

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 6458, 6462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6458 and 6462 is 2.

GCF(6458,6462) = 2

GCF of 6458 and 6462

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

GCF of:
and

Greatest Common Factor of 6458 and 6462

GCF of 6458 and 6462 is 2

Prime Factorization of 6458


2 6458
3229 3229
1

Prime factors of 6458 are 2,3229. Prime factorization of 6458 in exponential form is:

6458 = 21×32291

Prime Factorization of 6462


2 6462
3 3231
3 1077
359 359
1

Prime factors of 6462 are 2,3,359. Prime factorization of 6462 in exponential form is:

6462 = 21×32×3591

∴ So by taking common prime factors GCF of 6458 and 6462 is 2

Greatest Common Factor of 6458 and 6462 by matching factors method

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1,2,3229,6458

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Greatest Common Factor

We found the factors and prime factorization of 6458 and 6462. The biggest common factor number is the GCF number.
So the greatest common factor 6458 and 6462 is 2.

Also check out the Least Common Multiple of 6458 and 6462

Properties of GCF 6458 and 6462

(i) The GCF of 6458 and 6462 is associative

GCF of 6458 and 6462 = GCF of 6462 and 6458

Related Greatest Common Factor of 6458

Related Greatest Common Factor of 6462

Frequently Asked Questions on GCF of 6458 and 6462

1. What is the GCF of 6458 and 6462?

Answer: GCF of 6458 and 6462 is 2.

2. What are the Factors of 6458?

Answer: Factors of 6458 are 1, 2, 3229, 6458. There are 4 integers that are factors of 6458. The greatest factor of 6458 is 6458.

3. What are the Factors of 6462?

Answer: Factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462. There are 12 integers that are factors of 6462. The greatest factor of 6462 is 6462.

4. How to Find the GCF of 6458 and 6462?

Answer:

Greatest Common Factor of 6458 and 6462 = 2

Step 1: Find the prime factorization of 6458

6458 = 2 x 3229

Step 2: Find the prime factorization of 6462

6462 = 2 x 3 x 3 x 359

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 6458 and 6462 is 2