Greatest Common Factor of 8575 and 8580

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 8575, 8580 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8575 and 8580 is 5.

GCF(8575,8580) = 5

GCF of 8575 and 8580

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

GCF of:
and

Greatest Common Factor of 8575 and 8580

GCF of 8575 and 8580 is 5

Prime Factorization of 8575


5 8575
5 1715
7 343
7 49
7 7
1

Prime factors of 8575 are 5,7. Prime factorization of 8575 in exponential form is:

8575 = 52×73

Prime Factorization of 8580


2 8580
2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 8580 are 2,3,5,11,13. Prime factorization of 8580 in exponential form is:

8580 = 22×31×51×111×131

∴ So by taking common prime factors GCF of 8575 and 8580 is 5

Greatest Common Factor of 8575 and 8580 by matching factors method

Factors of 8575

List of positive integer factors of 8575 that divides 8575 without a remainder.

1,5,7,25,35,49,175,245,343,1225,1715,8575

Factors of 8580

List of positive integer factors of 8580 that divides 8580 without a remainder.

1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580

Greatest Common Factor

We found the factors and prime factorization of 8575 and 8580. The biggest common factor number is the GCF number.
So the greatest common factor 8575 and 8580 is 5.

Also check out the Least Common Multiple of 8575 and 8580

Properties of GCF 8575 and 8580

(i) The GCF of 8575 and 8580 is associative

GCF of 8575 and 8580 = GCF of 8580 and 8575

Related Greatest Common Factor of 8575

Related Greatest Common Factor of 8580

Frequently Asked Questions on GCF of 8575 and 8580

1. What is the GCF of 8575 and 8580?

Answer: GCF of 8575 and 8580 is 5.

2. What are the Factors of 8575?

Answer: Factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575. There are 12 integers that are factors of 8575. The greatest factor of 8575 is 8575.

3. What are the Factors of 8580?

Answer: Factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580. There are 48 integers that are factors of 8580. The greatest factor of 8580 is 8580.

4. How to Find the GCF of 8575 and 8580?

Answer:

Greatest Common Factor of 8575 and 8580 = 5

Step 1: Find the prime factorization of 8575

8575 = 5 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 8580

8580 = 2 x 2 x 3 x 5 x 11 x 13

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 8575 and 8580 is 5