Greatest Common Factor of 7876 and 7884

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 7876, 7884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7876 and 7884 is 4.

GCF(7876,7884) = 4

GCF of 7876 and 7884

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

GCF of:
and

Greatest Common Factor of 7876 and 7884

GCF of 7876 and 7884 is 4

Prime Factorization of 7876


2 7876
2 3938
11 1969
179 179
1

Prime factors of 7876 are 2,11,179. Prime factorization of 7876 in exponential form is:

7876 = 22×111×1791

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

∴ So by taking common prime factors GCF of 7876 and 7884 is 4

Greatest Common Factor of 7876 and 7884 by matching factors method

Factors of 7876

List of positive integer factors of 7876 that divides 7876 without a remainder.

1,2,4,11,22,44,179,358,716,1969,3938,7876

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

Greatest Common Factor

We found the factors and prime factorization of 7876 and 7884. The biggest common factor number is the GCF number.
So the greatest common factor 7876 and 7884 is 4.

Also check out the Least Common Multiple of 7876 and 7884

Properties of GCF 7876 and 7884

(i) The GCF of 7876 and 7884 is associative

GCF of 7876 and 7884 = GCF of 7884 and 7876

Related Greatest Common Factor of 7876

Related Greatest Common Factor of 7884

Frequently Asked Questions on GCF of 7876 and 7884

1. What is the GCF of 7876 and 7884?

Answer: GCF of 7876 and 7884 is 4.

2. What are the Factors of 7876?

Answer: Factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876. There are 12 integers that are factors of 7876. The greatest factor of 7876 is 7876.

3. 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.

4. How to Find the GCF of 7876 and 7884?

Answer:

Greatest Common Factor of 7876 and 7884 = 4

Step 1: Find the prime factorization of 7876

7876 = 2 x 2 x 11 x 179

Step 2: Find the prime factorization of 7884

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

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 7876 and 7884 is 4