Greatest Common Factor of 926 and 927

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 926, 927 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 926 and 927 is 1.

GCF(926,927) = 1

GCF of 926 and 927

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

GCF of:
and

Greatest Common Factor of 926 and 927

GCF of 926 and 927 is 1

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

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

∴ So by taking common prime factors GCF of 926 and 927 is 1

Greatest Common Factor of 926 and 927 by matching factors method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 927

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

1,3,9,103,309,927

Greatest Common Factor

We found the factors and prime factorization of 926 and 927. The biggest common factor number is the GCF number.
So the greatest common factor 926 and 927 is 1.

Also check out the Least Common Multiple of 926 and 927

Properties of GCF 926 and 927

(i) The GCF of 926 and 927 is associative

GCF of 926 and 927 = GCF of 927 and 926

Frequently Asked Questions on GCF of 926 and 927

1. What is the GCF of 926 and 927?

Answer: GCF of 926 and 927 is 1.

2. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

3. 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.

4. How to Find the GCF of 926 and 927?

Answer:

Greatest Common Factor of 926 and 927 = 1

Step 1: Find the prime factorization of 926

926 = 2 x 463

Step 2: Find the prime factorization of 927

927 = 3 x 3 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 926 and 927 is 1