Greatest Common Factor of 6474 and 6478

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 6474, 6478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6474 and 6478 is 2.

GCF(6474,6478) = 2

GCF of 6474 and 6478

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

GCF of:
and

Greatest Common Factor of 6474 and 6478

GCF of 6474 and 6478 is 2

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

Prime Factorization of 6478


2 6478
41 3239
79 79
1

Prime factors of 6478 are 2,41,79. Prime factorization of 6478 in exponential form is:

6478 = 21×411×791

∴ So by taking common prime factors GCF of 6474 and 6478 is 2

Greatest Common Factor of 6474 and 6478 by matching factors method

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

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Greatest Common Factor

We found the factors and prime factorization of 6474 and 6478. The biggest common factor number is the GCF number.
So the greatest common factor 6474 and 6478 is 2.

Also check out the Least Common Multiple of 6474 and 6478

Properties of GCF 6474 and 6478

(i) The GCF of 6474 and 6478 is associative

GCF of 6474 and 6478 = GCF of 6478 and 6474

Related Greatest Common Factor of 6474

Related Greatest Common Factor of 6478

Frequently Asked Questions on GCF of 6474 and 6478

1. What is the GCF of 6474 and 6478?

Answer: GCF of 6474 and 6478 is 2.

2. 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.

3. What are the Factors of 6478?

Answer: Factors of 6478 are 1, 2, 41, 79, 82, 158, 3239, 6478. There are 8 integers that are factors of 6478. The greatest factor of 6478 is 6478.

4. How to Find the GCF of 6474 and 6478?

Answer:

Greatest Common Factor of 6474 and 6478 = 2

Step 1: Find the prime factorization of 6474

6474 = 2 x 3 x 13 x 83

Step 2: Find the prime factorization of 6478

6478 = 2 x 41 x 79

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 6474 and 6478 is 2