Greatest Common Factor of 7872 and 7880

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 7872, 7880 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7872 and 7880 is 8.

GCF(7872,7880) = 8

GCF of 7872 and 7880

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

GCF of:
and

Greatest Common Factor of 7872 and 7880

GCF of 7872 and 7880 is 8

Prime Factorization of 7872


2 7872
2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 7872 are 2,3,41. Prime factorization of 7872 in exponential form is:

7872 = 26×31×411

Prime Factorization of 7880


2 7880
2 3940
2 1970
5 985
197 197
1

Prime factors of 7880 are 2,5,197. Prime factorization of 7880 in exponential form is:

7880 = 23×51×1971

∴ So by taking common prime factors GCF of 7872 and 7880 is 8

Greatest Common Factor of 7872 and 7880 by matching factors method

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880

Greatest Common Factor

We found the factors and prime factorization of 7872 and 7880. The biggest common factor number is the GCF number.
So the greatest common factor 7872 and 7880 is 8.

Also check out the Least Common Multiple of 7872 and 7880

Properties of GCF 7872 and 7880

(i) The GCF of 7872 and 7880 is associative

GCF of 7872 and 7880 = GCF of 7880 and 7872

Related Greatest Common Factor of 7872

Related Greatest Common Factor of 7880

Frequently Asked Questions on GCF of 7872 and 7880

1. What is the GCF of 7872 and 7880?

Answer: GCF of 7872 and 7880 is 8.

2. What are the Factors of 7872?

Answer: Factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872. There are 28 integers that are factors of 7872. The greatest factor of 7872 is 7872.

3. What are the Factors of 7880?

Answer: Factors of 7880 are 1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940, 7880. There are 16 integers that are factors of 7880. The greatest factor of 7880 is 7880.

4. How to Find the GCF of 7872 and 7880?

Answer:

Greatest Common Factor of 7872 and 7880 = 8

Step 1: Find the prime factorization of 7872

7872 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 7880

7880 = 2 x 2 x 2 x 5 x 197

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7872 and 7880 is 8