Greatest Common Factor of 9775 and 9780

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 9775, 9780 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9775 and 9780 is 5.

GCF(9775,9780) = 5

GCF of 9775 and 9780

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

GCF of:
and

Greatest Common Factor of 9775 and 9780

GCF of 9775 and 9780 is 5

Prime Factorization of 9775


5 9775
5 1955
17 391
23 23
1

Prime factors of 9775 are 5,17,23. Prime factorization of 9775 in exponential form is:

9775 = 52×171×231

Prime Factorization of 9780


2 9780
2 4890
3 2445
5 815
163 163
1

Prime factors of 9780 are 2,3,5,163. Prime factorization of 9780 in exponential form is:

9780 = 22×31×51×1631

∴ So by taking common prime factors GCF of 9775 and 9780 is 5

Greatest Common Factor of 9775 and 9780 by matching factors method

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

Greatest Common Factor

We found the factors and prime factorization of 9775 and 9780. The biggest common factor number is the GCF number.
So the greatest common factor 9775 and 9780 is 5.

Also check out the Least Common Multiple of 9775 and 9780

Properties of GCF 9775 and 9780

(i) The GCF of 9775 and 9780 is associative

GCF of 9775 and 9780 = GCF of 9780 and 9775

Related Greatest Common Factor of 9775

Related Greatest Common Factor of 9780

Frequently Asked Questions on GCF of 9775 and 9780

1. What is the GCF of 9775 and 9780?

Answer: GCF of 9775 and 9780 is 5.

2. What are the Factors of 9775?

Answer: Factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775. There are 12 integers that are factors of 9775. The greatest factor of 9775 is 9775.

3. What are the Factors of 9780?

Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.

4. How to Find the GCF of 9775 and 9780?

Answer:

Greatest Common Factor of 9775 and 9780 = 5

Step 1: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

Step 2: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9775 and 9780 is 5