Greatest Common Factor of 6466 and 6474

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, 6474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6466 and 6474 is 2.

GCF(6466,6474) = 2

GCF of 6466 and 6474

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

GCF of:
and

Greatest Common Factor of 6466 and 6474

GCF of 6466 and 6474 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 6474


2 6474
3 3237
13 1079
83 83
1

Prime factors of 6474 are 2,3,13,83. Prime factorization of 6474 in exponential form is:

6474 = 21×31×131×831

∴ So by taking common prime factors GCF of 6466 and 6474 is 2

Greatest Common Factor of 6466 and 6474 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 6474

List of positive integer factors of 6474 that divides 6474 without a remainder.

1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474

Greatest Common Factor

We found the factors and prime factorization of 6466 and 6474. The biggest common factor number is the GCF number.
So the greatest common factor 6466 and 6474 is 2.

Also check out the Least Common Multiple of 6466 and 6474

Properties of GCF 6466 and 6474

(i) The GCF of 6466 and 6474 is associative

GCF of 6466 and 6474 = GCF of 6474 and 6466

Related Greatest Common Factor of 6466

Related Greatest Common Factor of 6474

Frequently Asked Questions on GCF of 6466 and 6474

1. What is the GCF of 6466 and 6474?

Answer: GCF of 6466 and 6474 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 6474?

Answer: Factors of 6474 are 1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 249, 498, 1079, 2158, 3237, 6474. There are 16 integers that are factors of 6474. The greatest factor of 6474 is 6474.

4. How to Find the GCF of 6466 and 6474?

Answer:

Greatest Common Factor of 6466 and 6474 = 2

Step 1: Find the prime factorization of 6466

6466 = 2 x 53 x 61

Step 2: Find the prime factorization of 6474

6474 = 2 x 3 x 13 x 83

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 6474 is 2