Greatest Common Factor of 9776 and 9783

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, 9783 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9776 and 9783 is 1.

GCF(9776,9783) = 1

GCF of 9776 and 9783

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

GCF of:
and

Greatest Common Factor of 9776 and 9783

GCF of 9776 and 9783 is 1

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 9783


3 9783
3 3261
1087 1087
1

Prime factors of 9783 are 3,1087. Prime factorization of 9783 in exponential form is:

9783 = 32×10871

∴ So by taking common prime factors GCF of 9776 and 9783 is 1

Greatest Common Factor of 9776 and 9783 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 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors and prime factorization of 9776 and 9783. The biggest common factor number is the GCF number.
So the greatest common factor 9776 and 9783 is 1.

Also check out the Least Common Multiple of 9776 and 9783

Properties of GCF 9776 and 9783

(i) The GCF of 9776 and 9783 is associative

GCF of 9776 and 9783 = GCF of 9783 and 9776

Related Greatest Common Factor of 9776

Related Greatest Common Factor of 9783

Frequently Asked Questions on GCF of 9776 and 9783

1. What is the GCF of 9776 and 9783?

Answer: GCF of 9776 and 9783 is 1.

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 9783?

Answer: Factors of 9783 are 1, 3, 9, 1087, 3261, 9783. There are 6 integers that are factors of 9783. The greatest factor of 9783 is 9783.

4. How to Find the GCF of 9776 and 9783?

Answer:

Greatest Common Factor of 9776 and 9783 = 1

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 9783

9783 = 3 x 3 x 1087

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 9776 and 9783 is 1