Greatest Common Factor of 7884 and 7890

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, 7890 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7884 and 7890 is 6.

GCF(7884,7890) = 6

GCF of 7884 and 7890

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

GCF of:
and

Greatest Common Factor of 7884 and 7890

GCF of 7884 and 7890 is 6

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 7890


2 7890
3 3945
5 1315
263 263
1

Prime factors of 7890 are 2,3,5,263. Prime factorization of 7890 in exponential form is:

7890 = 21×31×51×2631

∴ So by taking common prime factors GCF of 7884 and 7890 is 6

Greatest Common Factor of 7884 and 7890 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 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890

Greatest Common Factor

We found the factors and prime factorization of 7884 and 7890. The biggest common factor number is the GCF number.
So the greatest common factor 7884 and 7890 is 6.

Also check out the Least Common Multiple of 7884 and 7890

Properties of GCF 7884 and 7890

(i) The GCF of 7884 and 7890 is associative

GCF of 7884 and 7890 = GCF of 7890 and 7884

Related Greatest Common Factor of 7884

Related Greatest Common Factor of 7890

Frequently Asked Questions on GCF of 7884 and 7890

1. What is the GCF of 7884 and 7890?

Answer: GCF of 7884 and 7890 is 6.

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 7890?

Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.

4. How to Find the GCF of 7884 and 7890?

Answer:

Greatest Common Factor of 7884 and 7890 = 6

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 7890

7890 = 2 x 3 x 5 x 263

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7884 and 7890 is 6