Greatest Common Factor of 925 and 930

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 925, 930 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 925 and 930 is 5.

GCF(925,930) = 5

GCF of 925 and 930

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

GCF of:
and

Greatest Common Factor of 925 and 930

GCF of 925 and 930 is 5

Prime Factorization of 925


5 925
5 185
37 37
1

Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:

925 = 52×371

Prime Factorization of 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2,3,5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

∴ So by taking common prime factors GCF of 925 and 930 is 5

Greatest Common Factor of 925 and 930 by matching factors method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors and prime factorization of 925 and 930. The biggest common factor number is the GCF number.
So the greatest common factor 925 and 930 is 5.

Also check out the Least Common Multiple of 925 and 930

Properties of GCF 925 and 930

(i) The GCF of 925 and 930 is associative

GCF of 925 and 930 = GCF of 930 and 925

Related Greatest Common Factor of 925

Related Greatest Common Factor of 930

Frequently Asked Questions on GCF of 925 and 930

1. What is the GCF of 925 and 930?

Answer: GCF of 925 and 930 is 5.

2. What are the Factors of 925?

Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.

3. What are the Factors of 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

4. How to Find the GCF of 925 and 930?

Answer:

Greatest Common Factor of 925 and 930 = 5

Step 1: Find the prime factorization of 925

925 = 5 x 5 x 37

Step 2: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 925 and 930 is 5