Greatest Common Factor of 10080 and 10087

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 10080, 10087 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10080 and 10087 is 7.

GCF(10080,10087) = 7

GCF of 10080 and 10087

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

GCF of:
and

Greatest Common Factor of 10080 and 10087

GCF of 10080 and 10087 is 7

Prime Factorization of 10080


2 10080
2 5040
2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 10080 are 2,3,5,7. Prime factorization of 10080 in exponential form is:

10080 = 25×32×51×71

Prime Factorization of 10087


7 10087
11 1441
131 131
1

Prime factors of 10087 are 7,11,131. Prime factorization of 10087 in exponential form is:

10087 = 71×111×1311

∴ So by taking common prime factors GCF of 10080 and 10087 is 7

Greatest Common Factor of 10080 and 10087 by matching factors method

Factors of 10080

List of positive integer factors of 10080 that divides 10080 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,32,35,36,40,42,45,48,56,60,63,70,72,80,84,90,96,105,112,120,126,140,144,160,168,180,210,224,240,252,280,288,315,336,360,420,480,504,560,630,672,720,840,1008,1120,1260,1440,1680,2016,2520,3360,5040,10080

Factors of 10087

List of positive integer factors of 10087 that divides 10087 without a remainder.

1,7,11,77,131,917,1441,10087

Greatest Common Factor

We found the factors and prime factorization of 10080 and 10087. The biggest common factor number is the GCF number.
So the greatest common factor 10080 and 10087 is 7.

Also check out the Least Common Multiple of 10080 and 10087

Properties of GCF 10080 and 10087

(i) The GCF of 10080 and 10087 is associative

GCF of 10080 and 10087 = GCF of 10087 and 10080

Related Greatest Common Factor of 10080

Related Greatest Common Factor of 10087

Frequently Asked Questions on GCF of 10080 and 10087

1. What is the GCF of 10080 and 10087?

Answer: GCF of 10080 and 10087 is 7.

2. What are the Factors of 10080?

Answer: Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. There are 72 integers that are factors of 10080. The greatest factor of 10080 is 10080.

3. What are the Factors of 10087?

Answer: Factors of 10087 are 1, 7, 11, 77, 131, 917, 1441, 10087. There are 8 integers that are factors of 10087. The greatest factor of 10087 is 10087.

4. How to Find the GCF of 10080 and 10087?

Answer:

Greatest Common Factor of 10080 and 10087 = 7

Step 1: Find the prime factorization of 10080

10080 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 10087

10087 = 7 x 11 x 131

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

GCF = 7

Step 4: Therefore, the greatest common factor of 10080 and 10087 is 7