Greatest Common Factor of 7884 and 7888

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 7884, 7888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7884 and 7888 is 4.

GCF(7884,7888) = 4

GCF of 7884 and 7888

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

GCF of:
and

Greatest Common Factor of 7884 and 7888

GCF of 7884 and 7888 is 4

Prime Factorization of 7884


2 7884
2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 7884 are 2,3,73. Prime factorization of 7884 in exponential form is:

7884 = 22×33×731

Prime Factorization of 7888


2 7888
2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 7888 are 2,17,29. Prime factorization of 7888 in exponential form is:

7888 = 24×171×291

∴ So by taking common prime factors GCF of 7884 and 7888 is 4

Greatest Common Factor of 7884 and 7888 by matching factors method

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Factors of 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888

Greatest Common Factor

We found the factors and prime factorization of 7884 and 7888. The biggest common factor number is the GCF number.
So the greatest common factor 7884 and 7888 is 4.

Also check out the Least Common Multiple of 7884 and 7888

Properties of GCF 7884 and 7888

(i) The GCF of 7884 and 7888 is associative

GCF of 7884 and 7888 = GCF of 7888 and 7884

Related Greatest Common Factor of 7884

Related Greatest Common Factor of 7888

Frequently Asked Questions on GCF of 7884 and 7888

1. What is the GCF of 7884 and 7888?

Answer: GCF of 7884 and 7888 is 4.

2. What are the Factors of 7884?

Answer: Factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884. There are 24 integers that are factors of 7884. The greatest factor of 7884 is 7884.

3. What are the Factors of 7888?

Answer: Factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888. There are 20 integers that are factors of 7888. The greatest factor of 7888 is 7888.

4. How to Find the GCF of 7884 and 7888?

Answer:

Greatest Common Factor of 7884 and 7888 = 4

Step 1: Find the prime factorization of 7884

7884 = 2 x 2 x 3 x 3 x 3 x 73

Step 2: Find the prime factorization of 7888

7888 = 2 x 2 x 2 x 2 x 17 x 29

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 7884 and 7888 is 4