Greatest Common Factor of 8780 and 8784

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 8780, 8784 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8780 and 8784 is 4.

GCF(8780,8784) = 4

GCF of 8780 and 8784

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

GCF of:
and

Greatest Common Factor of 8780 and 8784

GCF of 8780 and 8784 is 4

Prime Factorization of 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2,5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

Prime Factorization of 8784


2 8784
2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 8784 are 2,3,61. Prime factorization of 8784 in exponential form is:

8784 = 24×32×611

∴ So by taking common prime factors GCF of 8780 and 8784 is 4

Greatest Common Factor of 8780 and 8784 by matching factors method

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1,2,4,5,10,20,439,878,1756,2195,4390,8780

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Greatest Common Factor

We found the factors and prime factorization of 8780 and 8784. The biggest common factor number is the GCF number.
So the greatest common factor 8780 and 8784 is 4.

Also check out the Least Common Multiple of 8780 and 8784

Properties of GCF 8780 and 8784

(i) The GCF of 8780 and 8784 is associative

GCF of 8780 and 8784 = GCF of 8784 and 8780

Related Greatest Common Factor of 8780

Related Greatest Common Factor of 8784

Frequently Asked Questions on GCF of 8780 and 8784

1. What is the GCF of 8780 and 8784?

Answer: GCF of 8780 and 8784 is 4.

2. What are the Factors of 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

3. What are the Factors of 8784?

Answer: Factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784. There are 30 integers that are factors of 8784. The greatest factor of 8784 is 8784.

4. How to Find the GCF of 8780 and 8784?

Answer:

Greatest Common Factor of 8780 and 8784 = 4

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8784

8784 = 2 x 2 x 2 x 2 x 3 x 3 x 61

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 8780 and 8784 is 4