Greatest Common Factor of 1772 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 1772, 1780 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1772 and 1780 is 4.

GCF(1772,1780) = 4

GCF of 1772 and 1780

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

GCF of:
and

Greatest Common Factor of 1772 and 1780

GCF of 1772 and 1780 is 4

Prime Factorization of 1772


2 1772
2 886
443 443
1

Prime factors of 1772 are 2,443. Prime factorization of 1772 in exponential form is:

1772 = 22×4431

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 1772 and 1780 is 4

Greatest Common Factor of 1772 and 1780 by matching factors method

Factors of 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1,2,4,443,886,1772

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 1772 and 1780. The biggest common factor number is the GCF number.
So the greatest common factor 1772 and 1780 is 4.

Also check out the Least Common Multiple of 1772 and 1780

Properties of GCF 1772 and 1780

(i) The GCF of 1772 and 1780 is associative

GCF of 1772 and 1780 = GCF of 1780 and 1772

Related Greatest Common Factor of 1772

Related Greatest Common Factor of 1780

Frequently Asked Questions on GCF of 1772 and 1780

1. What is the GCF of 1772 and 1780?

Answer: GCF of 1772 and 1780 is 4.

2. What are the Factors of 1772?

Answer: Factors of 1772 are 1, 2, 4, 443, 886, 1772. There are 6 integers that are factors of 1772. The greatest factor of 1772 is 1772.

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 1772 and 1780?

Answer:

Greatest Common Factor of 1772 and 1780 = 4

Step 1: Find the prime factorization of 1772

1772 = 2 x 2 x 443

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1772 and 1780 is 4