Greatest Common Factor of 782 and 783

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 782, 783 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 782 and 783 is 1.

GCF(782,783) = 1

GCF of 782 and 783

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

GCF of:
and

Greatest Common Factor of 782 and 783

GCF of 782 and 783 is 1

Prime Factorization of 782


2 782
17 391
23 23
1

Prime factors of 782 are 2,17,23. Prime factorization of 782 in exponential form is:

782 = 21×171×231

Prime Factorization of 783


3 783
3 261
3 87
29 29
1

Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:

783 = 33×291

∴ So by taking common prime factors GCF of 782 and 783 is 1

Greatest Common Factor of 782 and 783 by matching factors method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors and prime factorization of 782 and 783. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 783 is 1.

Also check out the Least Common Multiple of 782 and 783

Properties of GCF 782 and 783

(i) The GCF of 782 and 783 is associative

GCF of 782 and 783 = GCF of 783 and 782

Related Greatest Common Factor of 782

Related Greatest Common Factor of 783

Frequently Asked Questions on GCF of 782 and 783

1. What is the GCF of 782 and 783?

Answer: GCF of 782 and 783 is 1.

2. What are the Factors of 782?

Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.

3. What are the Factors of 783?

Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.

4. How to Find the GCF of 782 and 783?

Answer:

Greatest Common Factor of 782 and 783 = 1

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 783

783 = 3 x 3 x 3 x 29

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 782 and 783 is 1