Greatest Common Factor of 6466 and 6472

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 6466, 6472 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6466 and 6472 is 2.

GCF(6466,6472) = 2

GCF of 6466 and 6472

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

GCF of:
and

Greatest Common Factor of 6466 and 6472

GCF of 6466 and 6472 is 2

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

Prime Factorization of 6472


2 6472
2 3236
2 1618
809 809
1

Prime factors of 6472 are 2,809. Prime factorization of 6472 in exponential form is:

6472 = 23×8091

∴ So by taking common prime factors GCF of 6466 and 6472 is 2

Greatest Common Factor of 6466 and 6472 by matching factors method

Factors of 6466

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

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

Factors of 6472

List of positive integer factors of 6472 that divides 6472 without a remainder.

1,2,4,8,809,1618,3236,6472

Greatest Common Factor

We found the factors and prime factorization of 6466 and 6472. The biggest common factor number is the GCF number.
So the greatest common factor 6466 and 6472 is 2.

Also check out the Least Common Multiple of 6466 and 6472

Properties of GCF 6466 and 6472

(i) The GCF of 6466 and 6472 is associative

GCF of 6466 and 6472 = GCF of 6472 and 6466

Related Greatest Common Factor of 6466

Related Greatest Common Factor of 6472

Frequently Asked Questions on GCF of 6466 and 6472

1. What is the GCF of 6466 and 6472?

Answer: GCF of 6466 and 6472 is 2.

2. 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.

3. What are the Factors of 6472?

Answer: Factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472. There are 8 integers that are factors of 6472. The greatest factor of 6472 is 6472.

4. How to Find the GCF of 6466 and 6472?

Answer:

Greatest Common Factor of 6466 and 6472 = 2

Step 1: Find the prime factorization of 6466

6466 = 2 x 53 x 61

Step 2: Find the prime factorization of 6472

6472 = 2 x 2 x 2 x 809

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 6466 and 6472 is 2