Greatest Common Factor of 1641 and 1644

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 1641, 1644 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1641 and 1644 is 3.

GCF(1641,1644) = 3

GCF of 1641 and 1644

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

GCF of:
and

Greatest Common Factor of 1641 and 1644

GCF of 1641 and 1644 is 3

Prime Factorization of 1641


3 1641
547 547
1

Prime factors of 1641 are 3,547. Prime factorization of 1641 in exponential form is:

1641 = 31×5471

Prime Factorization of 1644


2 1644
2 822
3 411
137 137
1

Prime factors of 1644 are 2,3,137. Prime factorization of 1644 in exponential form is:

1644 = 22×31×1371

∴ So by taking common prime factors GCF of 1641 and 1644 is 3

Greatest Common Factor of 1641 and 1644 by matching factors method

Factors of 1641

List of positive integer factors of 1641 that divides 1641 without a remainder.

1,3,547,1641

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors and prime factorization of 1641 and 1644. The biggest common factor number is the GCF number.
So the greatest common factor 1641 and 1644 is 3.

Also check out the Least Common Multiple of 1641 and 1644

Properties of GCF 1641 and 1644

(i) The GCF of 1641 and 1644 is associative

GCF of 1641 and 1644 = GCF of 1644 and 1641

Related Greatest Common Factor of 1641

Related Greatest Common Factor of 1644

Frequently Asked Questions on GCF of 1641 and 1644

1. What is the GCF of 1641 and 1644?

Answer: GCF of 1641 and 1644 is 3.

2. What are the Factors of 1641?

Answer: Factors of 1641 are 1, 3, 547, 1641. There are 4 integers that are factors of 1641. The greatest factor of 1641 is 1641.

3. What are the Factors of 1644?

Answer: Factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644. There are 12 integers that are factors of 1644. The greatest factor of 1644 is 1644.

4. How to Find the GCF of 1641 and 1644?

Answer:

Greatest Common Factor of 1641 and 1644 = 3

Step 1: Find the prime factorization of 1641

1641 = 3 x 547

Step 2: Find the prime factorization of 1644

1644 = 2 x 2 x 3 x 137

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1641 and 1644 is 3