Greatest Common Factor of 8574 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 8574, 8580 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8574 and 8580 is 6.

GCF(8574,8580) = 6

GCF of 8574 and 8580

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

GCF of:
and

Greatest Common Factor of 8574 and 8580

GCF of 8574 and 8580 is 6

Prime Factorization of 8574


2 8574
3 4287
1429 1429
1

Prime factors of 8574 are 2,3,1429. Prime factorization of 8574 in exponential form is:

8574 = 21×31×14291

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 8574 and 8580 is 6

Greatest Common Factor of 8574 and 8580 by matching factors method

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

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 8574 and 8580. The biggest common factor number is the GCF number.
So the greatest common factor 8574 and 8580 is 6.

Also check out the Least Common Multiple of 8574 and 8580

Properties of GCF 8574 and 8580

(i) The GCF of 8574 and 8580 is associative

GCF of 8574 and 8580 = GCF of 8580 and 8574

Related Greatest Common Factor of 8574

Related Greatest Common Factor of 8580

Frequently Asked Questions on GCF of 8574 and 8580

1. What is the GCF of 8574 and 8580?

Answer: GCF of 8574 and 8580 is 6.

2. What are the Factors of 8574?

Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.

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 8574 and 8580?

Answer:

Greatest Common Factor of 8574 and 8580 = 6

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8574 and 8580 is 6