Greatest Common Factor of 7808 and 7816

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 7808, 7816 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7808 and 7816 is 8.

GCF(7808,7816) = 8

GCF of 7808 and 7816

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

GCF of:
and

Greatest Common Factor of 7808 and 7816

GCF of 7808 and 7816 is 8

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

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

∴ So by taking common prime factors GCF of 7808 and 7816 is 8

Greatest Common Factor of 7808 and 7816 by matching factors method

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

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1,2,4,8,977,1954,3908,7816

Greatest Common Factor

We found the factors and prime factorization of 7808 and 7816. The biggest common factor number is the GCF number.
So the greatest common factor 7808 and 7816 is 8.

Also check out the Least Common Multiple of 7808 and 7816

Properties of GCF 7808 and 7816

(i) The GCF of 7808 and 7816 is associative

GCF of 7808 and 7816 = GCF of 7816 and 7808

Related Greatest Common Factor of 7808

Related Greatest Common Factor of 7816

Frequently Asked Questions on GCF of 7808 and 7816

1. What is the GCF of 7808 and 7816?

Answer: GCF of 7808 and 7816 is 8.

2. 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.

3. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

4. How to Find the GCF of 7808 and 7816?

Answer:

Greatest Common Factor of 7808 and 7816 = 8

Step 1: Find the prime factorization of 7808

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

Step 2: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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 7808 and 7816 is 8