Greatest Common Factor of 788 and 796

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 788, 796 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 788 and 796 is 4.

GCF(788,796) = 4

GCF of 788 and 796

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

GCF of:
and

Greatest Common Factor of 788 and 796

GCF of 788 and 796 is 4

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

Prime Factorization of 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

∴ So by taking common prime factors GCF of 788 and 796 is 4

Greatest Common Factor of 788 and 796 by matching factors method

Factors of 788

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

1,2,4,197,394,788

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors and prime factorization of 788 and 796. The biggest common factor number is the GCF number.
So the greatest common factor 788 and 796 is 4.

Also check out the Least Common Multiple of 788 and 796

Properties of GCF 788 and 796

(i) The GCF of 788 and 796 is associative

GCF of 788 and 796 = GCF of 796 and 788

Related Greatest Common Factor of 788

Related Greatest Common Factor of 796

Frequently Asked Questions on GCF of 788 and 796

1. What is the GCF of 788 and 796?

Answer: GCF of 788 and 796 is 4.

2. 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.

3. What are the Factors of 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the GCF of 788 and 796?

Answer:

Greatest Common Factor of 788 and 796 = 4

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 788 and 796 is 4