Greatest Common Factor of 9773 and 9774

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, 9774 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9773 and 9774 is 1.

GCF(9773,9774) = 1

GCF of 9773 and 9774

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

GCF of:
and

Greatest Common Factor of 9773 and 9774

GCF of 9773 and 9774 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 9774


2 9774
3 4887
3 1629
3 543
181 181
1

Prime factors of 9774 are 2,3,181. Prime factorization of 9774 in exponential form is:

9774 = 21×33×1811

∴ So by taking common prime factors GCF of 9773 and 9774 is 1

Greatest Common Factor of 9773 and 9774 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 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Greatest Common Factor

We found the factors and prime factorization of 9773 and 9774. The biggest common factor number is the GCF number.
So the greatest common factor 9773 and 9774 is 1.

Also check out the Least Common Multiple of 9773 and 9774

Properties of GCF 9773 and 9774

(i) The GCF of 9773 and 9774 is associative

GCF of 9773 and 9774 = GCF of 9774 and 9773

Frequently Asked Questions on GCF of 9773 and 9774

1. What is the GCF of 9773 and 9774?

Answer: GCF of 9773 and 9774 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 9774?

Answer: Factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774. There are 16 integers that are factors of 9774. The greatest factor of 9774 is 9774.

4. How to Find the GCF of 9773 and 9774?

Answer:

Greatest Common Factor of 9773 and 9774 = 1

Step 1: Find the prime factorization of 9773

9773 = 29 x 337

Step 2: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

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 9774 is 1