Greatest Common Factor of 7890 and 7895

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 7890, 7895 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7890 and 7895 is 5.

GCF(7890,7895) = 5

GCF of 7890 and 7895

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

GCF of:
and

Greatest Common Factor of 7890 and 7895

GCF of 7890 and 7895 is 5

Prime Factorization of 7890


2 7890
3 3945
5 1315
263 263
1

Prime factors of 7890 are 2,3,5,263. Prime factorization of 7890 in exponential form is:

7890 = 21×31×51×2631

Prime Factorization of 7895


5 7895
1579 1579
1

Prime factors of 7895 are 5,1579. Prime factorization of 7895 in exponential form is:

7895 = 51×15791

∴ So by taking common prime factors GCF of 7890 and 7895 is 5

Greatest Common Factor of 7890 and 7895 by matching factors method

Factors of 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890

Factors of 7895

List of positive integer factors of 7895 that divides 7895 without a remainder.

1,5,1579,7895

Greatest Common Factor

We found the factors and prime factorization of 7890 and 7895. The biggest common factor number is the GCF number.
So the greatest common factor 7890 and 7895 is 5.

Also check out the Least Common Multiple of 7890 and 7895

Properties of GCF 7890 and 7895

(i) The GCF of 7890 and 7895 is associative

GCF of 7890 and 7895 = GCF of 7895 and 7890

Related Greatest Common Factor of 7890

Related Greatest Common Factor of 7895

Frequently Asked Questions on GCF of 7890 and 7895

1. What is the GCF of 7890 and 7895?

Answer: GCF of 7890 and 7895 is 5.

2. What are the Factors of 7890?

Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.

3. What are the Factors of 7895?

Answer: Factors of 7895 are 1, 5, 1579, 7895. There are 4 integers that are factors of 7895. The greatest factor of 7895 is 7895.

4. How to Find the GCF of 7890 and 7895?

Answer:

Greatest Common Factor of 7890 and 7895 = 5

Step 1: Find the prime factorization of 7890

7890 = 2 x 3 x 5 x 263

Step 2: Find the prime factorization of 7895

7895 = 5 x 1579

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 7890 and 7895 is 5