Greatest Common Factor of 1764 and 1771

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, 1771 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1764 and 1771 is 7.

GCF(1764,1771) = 7

GCF of 1764 and 1771

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

GCF of:
and

Greatest Common Factor of 1764 and 1771

GCF of 1764 and 1771 is 7

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 1771


7 1771
11 253
23 23
1

Prime factors of 1771 are 7,11,23. Prime factorization of 1771 in exponential form is:

1771 = 71×111×231

∴ So by taking common prime factors GCF of 1764 and 1771 is 7

Greatest Common Factor of 1764 and 1771 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 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1,7,11,23,77,161,253,1771

Greatest Common Factor

We found the factors and prime factorization of 1764 and 1771. The biggest common factor number is the GCF number.
So the greatest common factor 1764 and 1771 is 7.

Also check out the Least Common Multiple of 1764 and 1771

Properties of GCF 1764 and 1771

(i) The GCF of 1764 and 1771 is associative

GCF of 1764 and 1771 = GCF of 1771 and 1764

Related Greatest Common Factor of 1764

Related Greatest Common Factor of 1771

Frequently Asked Questions on GCF of 1764 and 1771

1. What is the GCF of 1764 and 1771?

Answer: GCF of 1764 and 1771 is 7.

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 1771?

Answer: Factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771. There are 8 integers that are factors of 1771. The greatest factor of 1771 is 1771.

4. How to Find the GCF of 1764 and 1771?

Answer:

Greatest Common Factor of 1764 and 1771 = 7

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 1771

1771 = 7 x 11 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1764 and 1771 is 7