Greatest Common Factor of 1779 and 1780

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 1779, 1780 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1779 and 1780 is 1.

GCF(1779,1780) = 1

GCF of 1779 and 1780

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

GCF of:
and

Greatest Common Factor of 1779 and 1780

GCF of 1779 and 1780 is 1

Prime Factorization of 1779


3 1779
593 593
1

Prime factors of 1779 are 3,593. Prime factorization of 1779 in exponential form is:

1779 = 31×5931

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

∴ So by taking common prime factors GCF of 1779 and 1780 is 1

Greatest Common Factor of 1779 and 1780 by matching factors method

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1,3,593,1779

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

Greatest Common Factor

We found the factors and prime factorization of 1779 and 1780. The biggest common factor number is the GCF number.
So the greatest common factor 1779 and 1780 is 1.

Also check out the Least Common Multiple of 1779 and 1780

Properties of GCF 1779 and 1780

(i) The GCF of 1779 and 1780 is associative

GCF of 1779 and 1780 = GCF of 1780 and 1779

Related Greatest Common Factor of 1779

Related Greatest Common Factor of 1780

Frequently Asked Questions on GCF of 1779 and 1780

1. What is the GCF of 1779 and 1780?

Answer: GCF of 1779 and 1780 is 1.

2. What are the Factors of 1779?

Answer: Factors of 1779 are 1, 3, 593, 1779. There are 4 integers that are factors of 1779. The greatest factor of 1779 is 1779.

3. 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.

4. How to Find the GCF of 1779 and 1780?

Answer:

Greatest Common Factor of 1779 and 1780 = 1

Step 1: Find the prime factorization of 1779

1779 = 3 x 593

Step 2: Find the prime factorization of 1780

1780 = 2 x 2 x 5 x 89

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1779 and 1780 is 1