Greatest Common Factor of 8484 and 8488

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 8484, 8488 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8484 and 8488 is 4.

GCF(8484,8488) = 4

GCF of 8484 and 8488

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

GCF of:
and

Greatest Common Factor of 8484 and 8488

GCF of 8484 and 8488 is 4

Prime Factorization of 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2,3,7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

Prime Factorization of 8488


2 8488
2 4244
2 2122
1061 1061
1

Prime factors of 8488 are 2,1061. Prime factorization of 8488 in exponential form is:

8488 = 23×10611

∴ So by taking common prime factors GCF of 8484 and 8488 is 4

Greatest Common Factor of 8484 and 8488 by matching factors method

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Factors of 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1,2,4,8,1061,2122,4244,8488

Greatest Common Factor

We found the factors and prime factorization of 8484 and 8488. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8488 is 4.

Also check out the Least Common Multiple of 8484 and 8488

Properties of GCF 8484 and 8488

(i) The GCF of 8484 and 8488 is associative

GCF of 8484 and 8488 = GCF of 8488 and 8484

Related Greatest Common Factor of 8484

Related Greatest Common Factor of 8488

Frequently Asked Questions on GCF of 8484 and 8488

1. What is the GCF of 8484 and 8488?

Answer: GCF of 8484 and 8488 is 4.

2. What are the Factors of 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

3. What are the Factors of 8488?

Answer: Factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488. There are 8 integers that are factors of 8488. The greatest factor of 8488 is 8488.

4. How to Find the GCF of 8484 and 8488?

Answer:

Greatest Common Factor of 8484 and 8488 = 4

Step 1: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 8488

8488 = 2 x 2 x 2 x 1061

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 8484 and 8488 is 4