Greatest Common Factor of 9773 and 9776

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 9773, 9776 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9773 and 9776 is 1.

GCF(9773,9776) = 1

GCF of 9773 and 9776

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

GCF of:
and

Greatest Common Factor of 9773 and 9776

GCF of 9773 and 9776 is 1

Prime Factorization of 9773


29 9773
337 337
1

Prime factors of 9773 are 29,337. Prime factorization of 9773 in exponential form is:

9773 = 291×3371

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

∴ So by taking common prime factors GCF of 9773 and 9776 is 1

Greatest Common Factor of 9773 and 9776 by matching factors method

Factors of 9773

List of positive integer factors of 9773 that divides 9773 without a remainder.

1,29,337,9773

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

Greatest Common Factor

We found the factors and prime factorization of 9773 and 9776. The biggest common factor number is the GCF number.
So the greatest common factor 9773 and 9776 is 1.

Also check out the Least Common Multiple of 9773 and 9776

Properties of GCF 9773 and 9776

(i) The GCF of 9773 and 9776 is associative

GCF of 9773 and 9776 = GCF of 9776 and 9773

Frequently Asked Questions on GCF of 9773 and 9776

1. What is the GCF of 9773 and 9776?

Answer: GCF of 9773 and 9776 is 1.

2. What are the Factors of 9773?

Answer: Factors of 9773 are 1, 29, 337, 9773. There are 4 integers that are factors of 9773. The greatest factor of 9773 is 9773.

3. 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.

4. How to Find the GCF of 9773 and 9776?

Answer:

Greatest Common Factor of 9773 and 9776 = 1

Step 1: Find the prime factorization of 9773

9773 = 29 x 337

Step 2: Find the prime factorization of 9776

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

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 9773 and 9776 is 1