Greatest Common Factor of 1764 and 1768

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, 1768 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1764 and 1768 is 4.

GCF(1764,1768) = 4

GCF of 1764 and 1768

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

GCF of:
and

Greatest Common Factor of 1764 and 1768

GCF of 1764 and 1768 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 1768


2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 1768 are 2,13,17. Prime factorization of 1768 in exponential form is:

1768 = 23×131×171

∴ So by taking common prime factors GCF of 1764 and 1768 is 4

Greatest Common Factor of 1764 and 1768 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 1768

List of positive integer factors of 1768 that divides 1768 without a remainder.

1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768

Greatest Common Factor

We found the factors and prime factorization of 1764 and 1768. The biggest common factor number is the GCF number.
So the greatest common factor 1764 and 1768 is 4.

Also check out the Least Common Multiple of 1764 and 1768

Properties of GCF 1764 and 1768

(i) The GCF of 1764 and 1768 is associative

GCF of 1764 and 1768 = GCF of 1768 and 1764

Related Greatest Common Factor of 1764

Related Greatest Common Factor of 1768

Frequently Asked Questions on GCF of 1764 and 1768

1. What is the GCF of 1764 and 1768?

Answer: GCF of 1764 and 1768 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 1768?

Answer: Factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768. There are 16 integers that are factors of 1768. The greatest factor of 1768 is 1768.

4. How to Find the GCF of 1764 and 1768?

Answer:

Greatest Common Factor of 1764 and 1768 = 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 1768

1768 = 2 x 2 x 2 x 13 x 17

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 1768 is 4