Greatest Common Factor of 8576 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 8576, 8580 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8576 and 8580 is 4.

GCF(8576,8580) = 4

GCF of 8576 and 8580

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

GCF of:
and

Greatest Common Factor of 8576 and 8580

GCF of 8576 and 8580 is 4

Prime Factorization of 8576


2 8576
2 4288
2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 8576 are 2,67. Prime factorization of 8576 in exponential form is:

8576 = 27×671

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 8576 and 8580 is 4

Greatest Common Factor of 8576 and 8580 by matching factors method

Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576

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 8576 and 8580. The biggest common factor number is the GCF number.
So the greatest common factor 8576 and 8580 is 4.

Also check out the Least Common Multiple of 8576 and 8580

Properties of GCF 8576 and 8580

(i) The GCF of 8576 and 8580 is associative

GCF of 8576 and 8580 = GCF of 8580 and 8576

Related Greatest Common Factor of 8576

Related Greatest Common Factor of 8580

Frequently Asked Questions on GCF of 8576 and 8580

1. What is the GCF of 8576 and 8580?

Answer: GCF of 8576 and 8580 is 4.

2. What are the Factors of 8576?

Answer: Factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576. There are 16 integers that are factors of 8576. The greatest factor of 8576 is 8576.

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 8576 and 8580?

Answer:

Greatest Common Factor of 8576 and 8580 = 4

Step 1: Find the prime factorization of 8576

8576 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 67

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 2 = 4

Step 4: Therefore, the greatest common factor of 8576 and 8580 is 4