Greatest Common Factor of 7900 and 7905

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 7900, 7905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7900 and 7905 is 5.

GCF(7900,7905) = 5

GCF of 7900 and 7905

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

GCF of:
and

Greatest Common Factor of 7900 and 7905

GCF of 7900 and 7905 is 5

Prime Factorization of 7900


2 7900
2 3950
5 1975
5 395
79 79
1

Prime factors of 7900 are 2,5,79. Prime factorization of 7900 in exponential form is:

7900 = 22×52×791

Prime Factorization of 7905


3 7905
5 2635
17 527
31 31
1

Prime factors of 7905 are 3,5,17,31. Prime factorization of 7905 in exponential form is:

7905 = 31×51×171×311

∴ So by taking common prime factors GCF of 7900 and 7905 is 5

Greatest Common Factor of 7900 and 7905 by matching factors method

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Factors of 7905

List of positive integer factors of 7905 that divides 7905 without a remainder.

1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905

Greatest Common Factor

We found the factors and prime factorization of 7900 and 7905. The biggest common factor number is the GCF number.
So the greatest common factor 7900 and 7905 is 5.

Also check out the Least Common Multiple of 7900 and 7905

Properties of GCF 7900 and 7905

(i) The GCF of 7900 and 7905 is associative

GCF of 7900 and 7905 = GCF of 7905 and 7900

Related Greatest Common Factor of 7900

Related Greatest Common Factor of 7905

Frequently Asked Questions on GCF of 7900 and 7905

1. What is the GCF of 7900 and 7905?

Answer: GCF of 7900 and 7905 is 5.

2. What are the Factors of 7900?

Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.

3. What are the Factors of 7905?

Answer: Factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905. There are 16 integers that are factors of 7905. The greatest factor of 7905 is 7905.

4. How to Find the GCF of 7900 and 7905?

Answer:

Greatest Common Factor of 7900 and 7905 = 5

Step 1: Find the prime factorization of 7900

7900 = 2 x 2 x 5 x 5 x 79

Step 2: Find the prime factorization of 7905

7905 = 3 x 5 x 17 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 7900 and 7905 is 5