Greatest Common Factor of 7930 and 7931

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 7930, 7931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7930 and 7931 is 1.

GCF(7930,7931) = 1

GCF of 7930 and 7931

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

GCF of:
and

Greatest Common Factor of 7930 and 7931

GCF of 7930 and 7931 is 1

Prime Factorization of 7930


2 7930
5 3965
13 793
61 61
1

Prime factors of 7930 are 2,5,13,61. Prime factorization of 7930 in exponential form is:

7930 = 21×51×131×611

Prime Factorization of 7931


7 7931
11 1133
103 103
1

Prime factors of 7931 are 7,11,103. Prime factorization of 7931 in exponential form is:

7931 = 71×111×1031

∴ So by taking common prime factors GCF of 7930 and 7931 is 1

Greatest Common Factor of 7930 and 7931 by matching factors method

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Greatest Common Factor

We found the factors and prime factorization of 7930 and 7931. The biggest common factor number is the GCF number.
So the greatest common factor 7930 and 7931 is 1.

Also check out the Least Common Multiple of 7930 and 7931

Properties of GCF 7930 and 7931

(i) The GCF of 7930 and 7931 is associative

GCF of 7930 and 7931 = GCF of 7931 and 7930

Related Greatest Common Factor of 7930

Related Greatest Common Factor of 7931

Frequently Asked Questions on GCF of 7930 and 7931

1. What is the GCF of 7930 and 7931?

Answer: GCF of 7930 and 7931 is 1.

2. What are the Factors of 7930?

Answer: Factors of 7930 are 1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930. There are 16 integers that are factors of 7930. The greatest factor of 7930 is 7930.

3. What are the Factors of 7931?

Answer: Factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931. There are 8 integers that are factors of 7931. The greatest factor of 7931 is 7931.

4. How to Find the GCF of 7930 and 7931?

Answer:

Greatest Common Factor of 7930 and 7931 = 1

Step 1: Find the prime factorization of 7930

7930 = 2 x 5 x 13 x 61

Step 2: Find the prime factorization of 7931

7931 = 7 x 11 x 103

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 7930 and 7931 is 1