Greatest Common Factor of 9782 and 9787

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 9782, 9787 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9782 and 9787 is 1.

GCF(9782,9787) = 1

GCF of 9782 and 9787

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

GCF of:
and

Greatest Common Factor of 9782 and 9787

GCF of 9782 and 9787 is 1

Prime Factorization of 9782


2 9782
67 4891
73 73
1

Prime factors of 9782 are 2,67,73. Prime factorization of 9782 in exponential form is:

9782 = 21×671×731

Prime Factorization of 9787


9787 9787
1

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 97871

∴ So by taking common prime factors GCF of 9782 and 9787 is 1

Greatest Common Factor of 9782 and 9787 by matching factors method

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Factors of 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1,9787

Greatest Common Factor

We found the factors and prime factorization of 9782 and 9787. The biggest common factor number is the GCF number.
So the greatest common factor 9782 and 9787 is 1.

Also check out the Least Common Multiple of 9782 and 9787

Properties of GCF 9782 and 9787

(i) The GCF of 9782 and 9787 is associative

GCF of 9782 and 9787 = GCF of 9787 and 9782

Related Greatest Common Factor of 9782

Related Greatest Common Factor of 9787

Frequently Asked Questions on GCF of 9782 and 9787

1. What is the GCF of 9782 and 9787?

Answer: GCF of 9782 and 9787 is 1.

2. What are the Factors of 9782?

Answer: Factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782. There are 8 integers that are factors of 9782. The greatest factor of 9782 is 9782.

3. What are the Factors of 9787?

Answer: Factors of 9787 are 1, 9787. There are 2 integers that are factors of 9787. The greatest factor of 9787 is 9787.

4. How to Find the GCF of 9782 and 9787?

Answer:

Greatest Common Factor of 9782 and 9787 = 1

Step 1: Find the prime factorization of 9782

9782 = 2 x 67 x 73

Step 2: Find the prime factorization of 9787

9787 = 9787

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 9782 and 9787 is 1