Greatest Common Factor of 785 and 793

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 785, 793 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 785 and 793 is 1.

GCF(785,793) = 1

GCF of 785 and 793

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

GCF of:
and

Greatest Common Factor of 785 and 793

GCF of 785 and 793 is 1

Prime Factorization of 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

Prime Factorization of 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

∴ So by taking common prime factors GCF of 785 and 793 is 1

Greatest Common Factor of 785 and 793 by matching factors method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors and prime factorization of 785 and 793. The biggest common factor number is the GCF number.
So the greatest common factor 785 and 793 is 1.

Also check out the Least Common Multiple of 785 and 793

Properties of GCF 785 and 793

(i) The GCF of 785 and 793 is associative

GCF of 785 and 793 = GCF of 793 and 785

Related Greatest Common Factor of 785

Related Greatest Common Factor of 793

Frequently Asked Questions on GCF of 785 and 793

1. What is the GCF of 785 and 793?

Answer: GCF of 785 and 793 is 1.

2. What are the Factors of 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

3. What are the Factors of 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the GCF of 785 and 793?

Answer:

Greatest Common Factor of 785 and 793 = 1

Step 1: Find the prime factorization of 785

785 = 5 x 157

Step 2: Find the prime factorization of 793

793 = 13 x 61

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 785 and 793 is 1