Greatest Common Factor of 6484 and 6488

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 6484, 6488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6484 and 6488 is 4.

GCF(6484,6488) = 4

GCF of 6484 and 6488

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

GCF of:
and

Greatest Common Factor of 6484 and 6488

GCF of 6484 and 6488 is 4

Prime Factorization of 6484


2 6484
2 3242
1621 1621
1

Prime factors of 6484 are 2,1621. Prime factorization of 6484 in exponential form is:

6484 = 22×16211

Prime Factorization of 6488


2 6488
2 3244
2 1622
811 811
1

Prime factors of 6488 are 2,811. Prime factorization of 6488 in exponential form is:

6488 = 23×8111

∴ So by taking common prime factors GCF of 6484 and 6488 is 4

Greatest Common Factor of 6484 and 6488 by matching factors method

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1,2,4,1621,3242,6484

Factors of 6488

List of positive integer factors of 6488 that divides 6488 without a remainder.

1,2,4,8,811,1622,3244,6488

Greatest Common Factor

We found the factors and prime factorization of 6484 and 6488. The biggest common factor number is the GCF number.
So the greatest common factor 6484 and 6488 is 4.

Also check out the Least Common Multiple of 6484 and 6488

Properties of GCF 6484 and 6488

(i) The GCF of 6484 and 6488 is associative

GCF of 6484 and 6488 = GCF of 6488 and 6484

Related Greatest Common Factor of 6484

Related Greatest Common Factor of 6488

Frequently Asked Questions on GCF of 6484 and 6488

1. What is the GCF of 6484 and 6488?

Answer: GCF of 6484 and 6488 is 4.

2. What are the Factors of 6484?

Answer: Factors of 6484 are 1, 2, 4, 1621, 3242, 6484. There are 6 integers that are factors of 6484. The greatest factor of 6484 is 6484.

3. What are the Factors of 6488?

Answer: Factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488. There are 8 integers that are factors of 6488. The greatest factor of 6488 is 6488.

4. How to Find the GCF of 6484 and 6488?

Answer:

Greatest Common Factor of 6484 and 6488 = 4

Step 1: Find the prime factorization of 6484

6484 = 2 x 2 x 1621

Step 2: Find the prime factorization of 6488

6488 = 2 x 2 x 2 x 811

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6484 and 6488 is 4