Greatest Common Factor of 8925 and 8927

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 8925, 8927 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8925 and 8927 is 1.

GCF(8925,8927) = 1

GCF of 8925 and 8927

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

GCF of:
and

Greatest Common Factor of 8925 and 8927

GCF of 8925 and 8927 is 1

Prime Factorization of 8925


3 8925
5 2975
5 595
7 119
17 17
1

Prime factors of 8925 are 3,5,7,17. Prime factorization of 8925 in exponential form is:

8925 = 31×52×71×171

Prime Factorization of 8927


79 8927
113 113
1

Prime factors of 8927 are 79,113. Prime factorization of 8927 in exponential form is:

8927 = 791×1131

∴ So by taking common prime factors GCF of 8925 and 8927 is 1

Greatest Common Factor of 8925 and 8927 by matching factors method

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Factors of 8927

List of positive integer factors of 8927 that divides 8927 without a remainder.

1,79,113,8927

Greatest Common Factor

We found the factors and prime factorization of 8925 and 8927. The biggest common factor number is the GCF number.
So the greatest common factor 8925 and 8927 is 1.

Also check out the Least Common Multiple of 8925 and 8927

Properties of GCF 8925 and 8927

(i) The GCF of 8925 and 8927 is associative

GCF of 8925 and 8927 = GCF of 8927 and 8925

Related Greatest Common Factor of 8925

Related Greatest Common Factor of 8927

Frequently Asked Questions on GCF of 8925 and 8927

1. What is the GCF of 8925 and 8927?

Answer: GCF of 8925 and 8927 is 1.

2. What are the Factors of 8925?

Answer: Factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925. There are 24 integers that are factors of 8925. The greatest factor of 8925 is 8925.

3. What are the Factors of 8927?

Answer: Factors of 8927 are 1, 79, 113, 8927. There are 4 integers that are factors of 8927. The greatest factor of 8927 is 8927.

4. How to Find the GCF of 8925 and 8927?

Answer:

Greatest Common Factor of 8925 and 8927 = 1

Step 1: Find the prime factorization of 8925

8925 = 3 x 5 x 5 x 7 x 17

Step 2: Find the prime factorization of 8927

8927 = 79 x 113

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 8925 and 8927 is 1