Greatest Common Factor of 927 and 931

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 927, 931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 927 and 931 is 1.

GCF(927,931) = 1

GCF of 927 and 931

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

GCF of:
and

Greatest Common Factor of 927 and 931

GCF of 927 and 931 is 1

Prime Factorization of 927


3 927
3 309
103 103
1

Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:

927 = 32×1031

Prime Factorization of 931


7 931
7 133
19 19
1

Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:

931 = 72×191

∴ So by taking common prime factors GCF of 927 and 931 is 1

Greatest Common Factor of 927 and 931 by matching factors method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors and prime factorization of 927 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 927 and 931 is 1.

Also check out the Least Common Multiple of 927 and 931

Properties of GCF 927 and 931

(i) The GCF of 927 and 931 is associative

GCF of 927 and 931 = GCF of 931 and 927

Related Greatest Common Factor of 927

Related Greatest Common Factor of 931

Frequently Asked Questions on GCF of 927 and 931

1. What is the GCF of 927 and 931?

Answer: GCF of 927 and 931 is 1.

2. What are the Factors of 927?

Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.

3. What are the Factors of 931?

Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.

4. How to Find the GCF of 927 and 931?

Answer:

Greatest Common Factor of 927 and 931 = 1

Step 1: Find the prime factorization of 927

927 = 3 x 3 x 103

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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 927 and 931 is 1