Greatest Common Factor of 9779 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 9779, 9783 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9779 and 9783 is 1.

GCF(9779,9783) = 1

GCF of 9779 and 9783

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

GCF of:
and

Greatest Common Factor of 9779 and 9783

GCF of 9779 and 9783 is 1

Prime Factorization of 9779


7 9779
11 1397
127 127
1

Prime factors of 9779 are 7,11,127. Prime factorization of 9779 in exponential form is:

9779 = 71×111×1271

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 9779 and 9783 is 1

Greatest Common Factor of 9779 and 9783 by matching factors method

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1,7,11,77,127,889,1397,9779

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 9779 and 9783. The biggest common factor number is the GCF number.
So the greatest common factor 9779 and 9783 is 1.

Also check out the Least Common Multiple of 9779 and 9783

Properties of GCF 9779 and 9783

(i) The GCF of 9779 and 9783 is associative

GCF of 9779 and 9783 = GCF of 9783 and 9779

Frequently Asked Questions on GCF of 9779 and 9783

1. What is the GCF of 9779 and 9783?

Answer: GCF of 9779 and 9783 is 1.

2. What are the Factors of 9779?

Answer: Factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779. There are 8 integers that are factors of 9779. The greatest factor of 9779 is 9779.

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 9779 and 9783?

Answer:

Greatest Common Factor of 9779 and 9783 = 1

Step 1: Find the prime factorization of 9779

9779 = 7 x 11 x 127

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 9779 and 9783 is 1