Greatest Common Factor of 1780 and 1784

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 1780, 1784 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1780 and 1784 is 4.

GCF(1780,1784) = 4

GCF of 1780 and 1784

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

GCF of:
and

Greatest Common Factor of 1780 and 1784

GCF of 1780 and 1784 is 4

Prime Factorization of 1780


2 1780
2 890
5 445
89 89
1

Prime factors of 1780 are 2,5,89. Prime factorization of 1780 in exponential form is:

1780 = 22×51×891

Prime Factorization of 1784


2 1784
2 892
2 446
223 223
1

Prime factors of 1784 are 2,223. Prime factorization of 1784 in exponential form is:

1784 = 23×2231

∴ So by taking common prime factors GCF of 1780 and 1784 is 4

Greatest Common Factor of 1780 and 1784 by matching factors method

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1,2,4,5,10,20,89,178,356,445,890,1780

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Greatest Common Factor

We found the factors and prime factorization of 1780 and 1784. The biggest common factor number is the GCF number.
So the greatest common factor 1780 and 1784 is 4.

Also check out the Least Common Multiple of 1780 and 1784

Properties of GCF 1780 and 1784

(i) The GCF of 1780 and 1784 is associative

GCF of 1780 and 1784 = GCF of 1784 and 1780

Related Greatest Common Factor of 1780

Related Greatest Common Factor of 1784

Frequently Asked Questions on GCF of 1780 and 1784

1. What is the GCF of 1780 and 1784?

Answer: GCF of 1780 and 1784 is 4.

2. What are the Factors of 1780?

Answer: Factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780. There are 12 integers that are factors of 1780. The greatest factor of 1780 is 1780.

3. What are the Factors of 1784?

Answer: Factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784. There are 8 integers that are factors of 1784. The greatest factor of 1784 is 1784.

4. How to Find the GCF of 1780 and 1784?

Answer:

Greatest Common Factor of 1780 and 1784 = 4

Step 1: Find the prime factorization of 1780

1780 = 2 x 2 x 5 x 89

Step 2: Find the prime factorization of 1784

1784 = 2 x 2 x 2 x 223

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 1780 and 1784 is 4