Greatest Common Factor of 10080 and 10085

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, 10085 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10080 and 10085 is 5.

GCF(10080,10085) = 5

GCF of 10080 and 10085

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

GCF of:
and

Greatest Common Factor of 10080 and 10085

GCF of 10080 and 10085 is 5

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 10085


5 10085
2017 2017
1

Prime factors of 10085 are 5,2017. Prime factorization of 10085 in exponential form is:

10085 = 51×20171

∴ So by taking common prime factors GCF of 10080 and 10085 is 5

Greatest Common Factor of 10080 and 10085 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 10085

List of positive integer factors of 10085 that divides 10085 without a remainder.

1,5,2017,10085

Greatest Common Factor

We found the factors and prime factorization of 10080 and 10085. The biggest common factor number is the GCF number.
So the greatest common factor 10080 and 10085 is 5.

Also check out the Least Common Multiple of 10080 and 10085

Properties of GCF 10080 and 10085

(i) The GCF of 10080 and 10085 is associative

GCF of 10080 and 10085 = GCF of 10085 and 10080

Related Greatest Common Factor of 10080

Related Greatest Common Factor of 10085

Frequently Asked Questions on GCF of 10080 and 10085

1. What is the GCF of 10080 and 10085?

Answer: GCF of 10080 and 10085 is 5.

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 10085?

Answer: Factors of 10085 are 1, 5, 2017, 10085. There are 4 integers that are factors of 10085. The greatest factor of 10085 is 10085.

4. How to Find the GCF of 10080 and 10085?

Answer:

Greatest Common Factor of 10080 and 10085 = 5

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 10085

10085 = 5 x 2017

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 10080 and 10085 is 5