Greatest Common Factor of 7080 and 7085

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, 7085 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7080 and 7085 is 5.

GCF(7080,7085) = 5

GCF of 7080 and 7085

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

GCF of:
and

Greatest Common Factor of 7080 and 7085

GCF of 7080 and 7085 is 5

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 7085


5 7085
13 1417
109 109
1

Prime factors of 7085 are 5,13,109. Prime factorization of 7085 in exponential form is:

7085 = 51×131×1091

∴ So by taking common prime factors GCF of 7080 and 7085 is 5

Greatest Common Factor of 7080 and 7085 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 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Greatest Common Factor

We found the factors and prime factorization of 7080 and 7085. The biggest common factor number is the GCF number.
So the greatest common factor 7080 and 7085 is 5.

Also check out the Least Common Multiple of 7080 and 7085

Properties of GCF 7080 and 7085

(i) The GCF of 7080 and 7085 is associative

GCF of 7080 and 7085 = GCF of 7085 and 7080

Related Greatest Common Factor of 7080

Related Greatest Common Factor of 7085

Frequently Asked Questions on GCF of 7080 and 7085

1. What is the GCF of 7080 and 7085?

Answer: GCF of 7080 and 7085 is 5.

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 7085?

Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.

4. How to Find the GCF of 7080 and 7085?

Answer:

Greatest Common Factor of 7080 and 7085 = 5

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 7085

7085 = 5 x 13 x 109

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7080 and 7085 is 5