Greatest Common Factor of 9776 and 9784

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 9776, 9784 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9776 and 9784 is 8.

GCF(9776,9784) = 8

GCF of 9776 and 9784

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

GCF of:
and

Greatest Common Factor of 9776 and 9784

GCF of 9776 and 9784 is 8

Prime Factorization of 9776


2 9776
2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 9776 are 2,13,47. Prime factorization of 9776 in exponential form is:

9776 = 24×131×471

Prime Factorization of 9784


2 9784
2 4892
2 2446
1223 1223
1

Prime factors of 9784 are 2,1223. Prime factorization of 9784 in exponential form is:

9784 = 23×12231

∴ So by taking common prime factors GCF of 9776 and 9784 is 8

Greatest Common Factor of 9776 and 9784 by matching factors method

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1,2,4,8,1223,2446,4892,9784

Greatest Common Factor

We found the factors and prime factorization of 9776 and 9784. The biggest common factor number is the GCF number.
So the greatest common factor 9776 and 9784 is 8.

Also check out the Least Common Multiple of 9776 and 9784

Properties of GCF 9776 and 9784

(i) The GCF of 9776 and 9784 is associative

GCF of 9776 and 9784 = GCF of 9784 and 9776

Related Greatest Common Factor of 9776

Related Greatest Common Factor of 9784

Frequently Asked Questions on GCF of 9776 and 9784

1. What is the GCF of 9776 and 9784?

Answer: GCF of 9776 and 9784 is 8.

2. What are the Factors of 9776?

Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.

3. What are the Factors of 9784?

Answer: Factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784. There are 8 integers that are factors of 9784. The greatest factor of 9784 is 9784.

4. How to Find the GCF of 9776 and 9784?

Answer:

Greatest Common Factor of 9776 and 9784 = 8

Step 1: Find the prime factorization of 9776

9776 = 2 x 2 x 2 x 2 x 13 x 47

Step 2: Find the prime factorization of 9784

9784 = 2 x 2 x 2 x 1223

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 9776 and 9784 is 8