Greatest Common Factor of 6200 and 6208

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 6200, 6208 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6200 and 6208 is 8.

GCF(6200,6208) = 8

GCF of 6200 and 6208

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

GCF of:
and

Greatest Common Factor of 6200 and 6208

GCF of 6200 and 6208 is 8

Prime Factorization of 6200


2 6200
2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 6200 are 2,5,31. Prime factorization of 6200 in exponential form is:

6200 = 23×52×311

Prime Factorization of 6208


2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 6208 are 2,97. Prime factorization of 6208 in exponential form is:

6208 = 26×971

∴ So by taking common prime factors GCF of 6200 and 6208 is 8

Greatest Common Factor of 6200 and 6208 by matching factors method

Factors of 6200

List of positive integer factors of 6200 that divides 6200 without a remainder.

1,2,4,5,8,10,20,25,31,40,50,62,100,124,155,200,248,310,620,775,1240,1550,3100,6200

Factors of 6208

List of positive integer factors of 6208 that divides 6208 without a remainder.

1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208

Greatest Common Factor

We found the factors and prime factorization of 6200 and 6208. The biggest common factor number is the GCF number.
So the greatest common factor 6200 and 6208 is 8.

Also check out the Least Common Multiple of 6200 and 6208

Properties of GCF 6200 and 6208

(i) The GCF of 6200 and 6208 is associative

GCF of 6200 and 6208 = GCF of 6208 and 6200

Related Greatest Common Factor of 6200

Related Greatest Common Factor of 6208

Frequently Asked Questions on GCF of 6200 and 6208

1. What is the GCF of 6200 and 6208?

Answer: GCF of 6200 and 6208 is 8.

2. What are the Factors of 6200?

Answer: Factors of 6200 are 1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 155, 200, 248, 310, 620, 775, 1240, 1550, 3100, 6200. There are 24 integers that are factors of 6200. The greatest factor of 6200 is 6200.

3. What are the Factors of 6208?

Answer: Factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208. There are 14 integers that are factors of 6208. The greatest factor of 6208 is 6208.

4. How to Find the GCF of 6200 and 6208?

Answer:

Greatest Common Factor of 6200 and 6208 = 8

Step 1: Find the prime factorization of 6200

6200 = 2 x 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 6208

6208 = 2 x 2 x 2 x 2 x 2 x 2 x 97

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 6200 and 6208 is 8