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 6896, 6900 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6896 and 6900 is 4.
GCF(6896,6900) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6896
2 | 6896 |
2 | 3448 |
2 | 1724 |
2 | 862 |
431 | 431 |
1 |
Prime factors of 6896 are 2,431. Prime factorization of 6896 in exponential form is:
6896 = 24×4311
Prime Factorization of 6900
2 | 6900 |
2 | 3450 |
3 | 1725 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 6900 are 2,3,5,23. Prime factorization of 6900 in exponential form is:
6900 = 22×31×52×231
∴ So by taking common prime factors GCF of 6896 and 6900 is 4
Factors of 6896
List of positive integer factors of 6896 that divides 6896 without a remainder.
1,2,4,8,16,431,862,1724,3448,6896
Factors of 6900
List of positive integer factors of 6900 that divides 6900 without a remainder.
1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Greatest Common Factor
We found the factors and prime factorization of 6896 and 6900. The biggest common factor number is the GCF number.
So the greatest common factor 6896 and 6900 is 4.
Also check out the Least Common Multiple of 6896 and 6900
(i) The GCF of 6896 and 6900 is associative
GCF of 6896 and 6900 = GCF of 6900 and 6896
1. What is the GCF of 6896 and 6900?
Answer: GCF of 6896 and 6900 is 4.
2. What are the Factors of 6896?
Answer: Factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896. There are 10 integers that are factors of 6896. The greatest factor of 6896 is 6896.
3. What are the Factors of 6900?
Answer: Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. There are 36 integers that are factors of 6900. The greatest factor of 6900 is 6900.
4. How to Find the GCF of 6896 and 6900?
Answer:
Greatest Common Factor of 6896 and 6900 = 4
Step 1: Find the prime factorization of 6896
6896 = 2 x 2 x 2 x 2 x 431
Step 2: Find the prime factorization of 6900
6900 = 2 x 2 x 3 x 5 x 5 x 23
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 6896 and 6900 is 4