Greatest Common Factor of 782 and 788

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, 788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 782 and 788 is 2.

GCF(782,788) = 2

GCF of 782 and 788

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

GCF of:
and

Greatest Common Factor of 782 and 788

GCF of 782 and 788 is 2

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 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

∴ So by taking common prime factors GCF of 782 and 788 is 2

Greatest Common Factor of 782 and 788 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 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors and prime factorization of 782 and 788. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 788 is 2.

Also check out the Least Common Multiple of 782 and 788

Properties of GCF 782 and 788

(i) The GCF of 782 and 788 is associative

GCF of 782 and 788 = GCF of 788 and 782

Related Greatest Common Factor of 782

Related Greatest Common Factor of 788

Frequently Asked Questions on GCF of 782 and 788

1. What is the GCF of 782 and 788?

Answer: GCF of 782 and 788 is 2.

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 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

4. How to Find the GCF of 782 and 788?

Answer:

Greatest Common Factor of 782 and 788 = 2

Step 1: Find the prime factorization of 782

782 = 2 x 17 x 23

Step 2: Find the prime factorization of 788

788 = 2 x 2 x 197

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

GCF = 2

Step 4: Therefore, the greatest common factor of 782 and 788 is 2