Greatest Common Factor of 7080 and 7087

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, 7087 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7080 and 7087 is 1.

GCF(7080,7087) = 1

GCF of 7080 and 7087

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

GCF of:
and

Greatest Common Factor of 7080 and 7087

GCF of 7080 and 7087 is 1

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 7087


19 7087
373 373
1

Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:

7087 = 191×3731

∴ So by taking common prime factors GCF of 7080 and 7087 is 1

Greatest Common Factor of 7080 and 7087 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 7087

List of positive integer factors of 7087 that divides 7087 without a remainder.

1,19,373,7087

Greatest Common Factor

We found the factors and prime factorization of 7080 and 7087. The biggest common factor number is the GCF number.
So the greatest common factor 7080 and 7087 is 1.

Also check out the Least Common Multiple of 7080 and 7087

Properties of GCF 7080 and 7087

(i) The GCF of 7080 and 7087 is associative

GCF of 7080 and 7087 = GCF of 7087 and 7080

Frequently Asked Questions on GCF of 7080 and 7087

1. What is the GCF of 7080 and 7087?

Answer: GCF of 7080 and 7087 is 1.

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 7087?

Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.

4. How to Find the GCF of 7080 and 7087?

Answer:

Greatest Common Factor of 7080 and 7087 = 1

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 7087

7087 = 19 x 373

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7080 and 7087 is 1