Greatest Common Factor of 7080 and 7084

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 7080, 7084 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7080 and 7084 is 4.

GCF(7080,7084) = 4

GCF of 7080 and 7084

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

GCF of:
and

Greatest Common Factor of 7080 and 7084

GCF of 7080 and 7084 is 4

Prime Factorization of 7080


2 7080
2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 7080 are 2,3,5,59. Prime factorization of 7080 in exponential form is:

7080 = 23×31×51×591

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2,7,11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

∴ So by taking common prime factors GCF of 7080 and 7084 is 4

Greatest Common Factor of 7080 and 7084 by matching factors method

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors and prime factorization of 7080 and 7084. The biggest common factor number is the GCF number.
So the greatest common factor 7080 and 7084 is 4.

Also check out the Least Common Multiple of 7080 and 7084

Properties of GCF 7080 and 7084

(i) The GCF of 7080 and 7084 is associative

GCF of 7080 and 7084 = GCF of 7084 and 7080

Related Greatest Common Factor of 7080

Related Greatest Common Factor of 7084

Frequently Asked Questions on GCF of 7080 and 7084

1. What is the GCF of 7080 and 7084?

Answer: GCF of 7080 and 7084 is 4.

2. What are the Factors of 7080?

Answer: Factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. There are 32 integers that are factors of 7080. The greatest factor of 7080 is 7080.

3. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

4. How to Find the GCF of 7080 and 7084?

Answer:

Greatest Common Factor of 7080 and 7084 = 4

Step 1: Find the prime factorization of 7080

7080 = 2 x 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

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 7080 and 7084 is 4