Greatest Common Factor of 1764 and 1772

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 1764, 1772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1764 and 1772 is 4.

GCF(1764,1772) = 4

GCF of 1764 and 1772

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

GCF of:
and

Greatest Common Factor of 1764 and 1772

GCF of 1764 and 1772 is 4

Prime Factorization of 1764


2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 1764 are 2,3,7. Prime factorization of 1764 in exponential form is:

1764 = 22×32×72

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

∴ So by taking common prime factors GCF of 1764 and 1772 is 4

Greatest Common Factor of 1764 and 1772 by matching factors method

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Factors of 1772

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

1,2,4,443,886,1772

Greatest Common Factor

We found the factors and prime factorization of 1764 and 1772. The biggest common factor number is the GCF number.
So the greatest common factor 1764 and 1772 is 4.

Also check out the Least Common Multiple of 1764 and 1772

Properties of GCF 1764 and 1772

(i) The GCF of 1764 and 1772 is associative

GCF of 1764 and 1772 = GCF of 1772 and 1764

Related Greatest Common Factor of 1764

Related Greatest Common Factor of 1772

Frequently Asked Questions on GCF of 1764 and 1772

1. What is the GCF of 1764 and 1772?

Answer: GCF of 1764 and 1772 is 4.

2. What are the Factors of 1764?

Answer: Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764. There are 27 integers that are factors of 1764. The greatest factor of 1764 is 1764.

3. 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.

4. How to Find the GCF of 1764 and 1772?

Answer:

Greatest Common Factor of 1764 and 1772 = 4

Step 1: Find the prime factorization of 1764

1764 = 2 x 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 1772

1772 = 2 x 2 x 443

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 1764 and 1772 is 4