Greatest Common Factor of 7803 and 7808

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 7803, 7808 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7803 and 7808 is 1.

GCF(7803,7808) = 1

GCF of 7803 and 7808

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

GCF of:
and

Greatest Common Factor of 7803 and 7808

GCF of 7803 and 7808 is 1

Prime Factorization of 7803


3 7803
3 2601
3 867
17 289
17 17
1

Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:

7803 = 33×172

Prime Factorization of 7808


2 7808
2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 7808 are 2,61. Prime factorization of 7808 in exponential form is:

7808 = 27×611

∴ So by taking common prime factors GCF of 7803 and 7808 is 1

Greatest Common Factor of 7803 and 7808 by matching factors method

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1,3,9,17,27,51,153,289,459,867,2601,7803

Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808

Greatest Common Factor

We found the factors and prime factorization of 7803 and 7808. The biggest common factor number is the GCF number.
So the greatest common factor 7803 and 7808 is 1.

Also check out the Least Common Multiple of 7803 and 7808

Properties of GCF 7803 and 7808

(i) The GCF of 7803 and 7808 is associative

GCF of 7803 and 7808 = GCF of 7808 and 7803

Related Greatest Common Factor of 7803

Related Greatest Common Factor of 7808

Frequently Asked Questions on GCF of 7803 and 7808

1. What is the GCF of 7803 and 7808?

Answer: GCF of 7803 and 7808 is 1.

2. What are the Factors of 7803?

Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.

3. What are the Factors of 7808?

Answer: Factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808. There are 16 integers that are factors of 7808. The greatest factor of 7808 is 7808.

4. How to Find the GCF of 7803 and 7808?

Answer:

Greatest Common Factor of 7803 and 7808 = 1

Step 1: Find the prime factorization of 7803

7803 = 3 x 3 x 3 x 17 x 17

Step 2: Find the prime factorization of 7808

7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7803 and 7808 is 1