Greatest Common Factor of 788 and 794

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

Greatest common factor (GCF) of 788 and 794 is 2.

GCF(788,794) = 2

GCF of 788 and 794

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

GCF of:
and

Greatest Common Factor of 788 and 794

GCF of 788 and 794 is 2

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 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

∴ So by taking common prime factors GCF of 788 and 794 is 2

Greatest Common Factor of 788 and 794 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 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors and prime factorization of 788 and 794. The biggest common factor number is the GCF number.
So the greatest common factor 788 and 794 is 2.

Also check out the Least Common Multiple of 788 and 794

Properties of GCF 788 and 794

(i) The GCF of 788 and 794 is associative

GCF of 788 and 794 = GCF of 794 and 788

Related Greatest Common Factor of 788

Related Greatest Common Factor of 794

Frequently Asked Questions on GCF of 788 and 794

1. What is the GCF of 788 and 794?

Answer: GCF of 788 and 794 is 2.

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 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the GCF of 788 and 794?

Answer:

Greatest Common Factor of 788 and 794 = 2

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 794

794 = 2 x 397

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 788 and 794 is 2