Greatest Common Factor of 6462 and 6466

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 6462, 6466 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6462 and 6466 is 2.

GCF(6462,6466) = 2

GCF of 6462 and 6466

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

GCF of:
and

Greatest Common Factor of 6462 and 6466

GCF of 6462 and 6466 is 2

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

Prime Factorization of 6466


2 6466
53 3233
61 61
1

Prime factors of 6466 are 2,53,61. Prime factorization of 6466 in exponential form is:

6466 = 21×531×611

∴ So by taking common prime factors GCF of 6462 and 6466 is 2

Greatest Common Factor of 6462 and 6466 by matching factors method

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

Factors of 6466

List of positive integer factors of 6466 that divides 6466 without a remainder.

1,2,53,61,106,122,3233,6466

Greatest Common Factor

We found the factors and prime factorization of 6462 and 6466. The biggest common factor number is the GCF number.
So the greatest common factor 6462 and 6466 is 2.

Also check out the Least Common Multiple of 6462 and 6466

Properties of GCF 6462 and 6466

(i) The GCF of 6462 and 6466 is associative

GCF of 6462 and 6466 = GCF of 6466 and 6462

Related Greatest Common Factor of 6462

Related Greatest Common Factor of 6466

Frequently Asked Questions on GCF of 6462 and 6466

1. What is the GCF of 6462 and 6466?

Answer: GCF of 6462 and 6466 is 2.

2. 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.

3. What are the Factors of 6466?

Answer: Factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466. There are 8 integers that are factors of 6466. The greatest factor of 6466 is 6466.

4. How to Find the GCF of 6462 and 6466?

Answer:

Greatest Common Factor of 6462 and 6466 = 2

Step 1: Find the prime factorization of 6462

6462 = 2 x 3 x 3 x 359

Step 2: Find the prime factorization of 6466

6466 = 2 x 53 x 61

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 6462 and 6466 is 2