Greatest Common Factor of 7988 and 7992

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 7988, 7992 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7988 and 7992 is 4.

GCF(7988,7992) = 4

GCF of 7988 and 7992

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

GCF of:
and

Greatest Common Factor of 7988 and 7992

GCF of 7988 and 7992 is 4

Prime Factorization of 7988


2 7988
2 3994
1997 1997
1

Prime factors of 7988 are 2,1997. Prime factorization of 7988 in exponential form is:

7988 = 22×19971

Prime Factorization of 7992


2 7992
2 3996
2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 7992 are 2,3,37. Prime factorization of 7992 in exponential form is:

7992 = 23×33×371

∴ So by taking common prime factors GCF of 7988 and 7992 is 4

Greatest Common Factor of 7988 and 7992 by matching factors method

Factors of 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1,2,4,1997,3994,7988

Factors of 7992

List of positive integer factors of 7992 that divides 7992 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992

Greatest Common Factor

We found the factors and prime factorization of 7988 and 7992. The biggest common factor number is the GCF number.
So the greatest common factor 7988 and 7992 is 4.

Also check out the Least Common Multiple of 7988 and 7992

Properties of GCF 7988 and 7992

(i) The GCF of 7988 and 7992 is associative

GCF of 7988 and 7992 = GCF of 7992 and 7988

Related Greatest Common Factor of 7988

Related Greatest Common Factor of 7992

Frequently Asked Questions on GCF of 7988 and 7992

1. What is the GCF of 7988 and 7992?

Answer: GCF of 7988 and 7992 is 4.

2. What are the Factors of 7988?

Answer: Factors of 7988 are 1, 2, 4, 1997, 3994, 7988. There are 6 integers that are factors of 7988. The greatest factor of 7988 is 7988.

3. What are the Factors of 7992?

Answer: Factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992. There are 32 integers that are factors of 7992. The greatest factor of 7992 is 7992.

4. How to Find the GCF of 7988 and 7992?

Answer:

Greatest Common Factor of 7988 and 7992 = 4

Step 1: Find the prime factorization of 7988

7988 = 2 x 2 x 1997

Step 2: Find the prime factorization of 7992

7992 = 2 x 2 x 2 x 3 x 3 x 3 x 37

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7988 and 7992 is 4