Greatest Common Factor of 8300 and 8308

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 8300, 8308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8300 and 8308 is 4.

GCF(8300,8308) = 4

GCF of 8300 and 8308

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

GCF of:
and

Greatest Common Factor of 8300 and 8308

GCF of 8300 and 8308 is 4

Prime Factorization of 8300


2 8300
2 4150
5 2075
5 415
83 83
1

Prime factors of 8300 are 2,5,83. Prime factorization of 8300 in exponential form is:

8300 = 22×52×831

Prime Factorization of 8308


2 8308
2 4154
31 2077
67 67
1

Prime factors of 8308 are 2,31,67. Prime factorization of 8308 in exponential form is:

8308 = 22×311×671

∴ So by taking common prime factors GCF of 8300 and 8308 is 4

Greatest Common Factor of 8300 and 8308 by matching factors method

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Factors of 8308

List of positive integer factors of 8308 that divides 8308 without a remainder.

1,2,4,31,62,67,124,134,268,2077,4154,8308

Greatest Common Factor

We found the factors and prime factorization of 8300 and 8308. The biggest common factor number is the GCF number.
So the greatest common factor 8300 and 8308 is 4.

Also check out the Least Common Multiple of 8300 and 8308

Properties of GCF 8300 and 8308

(i) The GCF of 8300 and 8308 is associative

GCF of 8300 and 8308 = GCF of 8308 and 8300

Related Greatest Common Factor of 8300

Related Greatest Common Factor of 8308

Frequently Asked Questions on GCF of 8300 and 8308

1. What is the GCF of 8300 and 8308?

Answer: GCF of 8300 and 8308 is 4.

2. What are the Factors of 8300?

Answer: Factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300. There are 18 integers that are factors of 8300. The greatest factor of 8300 is 8300.

3. What are the Factors of 8308?

Answer: Factors of 8308 are 1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308. There are 12 integers that are factors of 8308. The greatest factor of 8308 is 8308.

4. How to Find the GCF of 8300 and 8308?

Answer:

Greatest Common Factor of 8300 and 8308 = 4

Step 1: Find the prime factorization of 8300

8300 = 2 x 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 8308

8308 = 2 x 2 x 31 x 67

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 8300 and 8308 is 4