Greatest Common Factor of 6416 and 6424

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 6416, 6424 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6416 and 6424 is 8.

GCF(6416,6424) = 8

GCF of 6416 and 6424

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

GCF of:
and

Greatest Common Factor of 6416 and 6424

GCF of 6416 and 6424 is 8

Prime Factorization of 6416


2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 6416 are 2,401. Prime factorization of 6416 in exponential form is:

6416 = 24×4011

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2,11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

∴ So by taking common prime factors GCF of 6416 and 6424 is 8

Greatest Common Factor of 6416 and 6424 by matching factors method

Factors of 6416

List of positive integer factors of 6416 that divides 6416 without a remainder.

1,2,4,8,16,401,802,1604,3208,6416

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors and prime factorization of 6416 and 6424. The biggest common factor number is the GCF number.
So the greatest common factor 6416 and 6424 is 8.

Also check out the Least Common Multiple of 6416 and 6424

Properties of GCF 6416 and 6424

(i) The GCF of 6416 and 6424 is associative

GCF of 6416 and 6424 = GCF of 6424 and 6416

Related Greatest Common Factor of 6416

Related Greatest Common Factor of 6424

Frequently Asked Questions on GCF of 6416 and 6424

1. What is the GCF of 6416 and 6424?

Answer: GCF of 6416 and 6424 is 8.

2. What are the Factors of 6416?

Answer: Factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416. There are 10 integers that are factors of 6416. The greatest factor of 6416 is 6416.

3. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

4. How to Find the GCF of 6416 and 6424?

Answer:

Greatest Common Factor of 6416 and 6424 = 8

Step 1: Find the prime factorization of 6416

6416 = 2 x 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6416 and 6424 is 8