Greatest Common Factor of 1638 and 1646

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 1638, 1646 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1638 and 1646 is 2.

GCF(1638,1646) = 2

GCF of 1638 and 1646

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

GCF of:
and

Greatest Common Factor of 1638 and 1646

GCF of 1638 and 1646 is 2

Prime Factorization of 1638


2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 1638 are 2,3,7,13. Prime factorization of 1638 in exponential form is:

1638 = 21×32×71×131

Prime Factorization of 1646


2 1646
823 823
1

Prime factors of 1646 are 2,823. Prime factorization of 1646 in exponential form is:

1646 = 21×8231

∴ So by taking common prime factors GCF of 1638 and 1646 is 2

Greatest Common Factor of 1638 and 1646 by matching factors method

Factors of 1638

List of positive integer factors of 1638 that divides 1638 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Greatest Common Factor

We found the factors and prime factorization of 1638 and 1646. The biggest common factor number is the GCF number.
So the greatest common factor 1638 and 1646 is 2.

Also check out the Least Common Multiple of 1638 and 1646

Properties of GCF 1638 and 1646

(i) The GCF of 1638 and 1646 is associative

GCF of 1638 and 1646 = GCF of 1646 and 1638

Related Greatest Common Factor of 1638

Related Greatest Common Factor of 1646

Frequently Asked Questions on GCF of 1638 and 1646

1. What is the GCF of 1638 and 1646?

Answer: GCF of 1638 and 1646 is 2.

2. What are the Factors of 1638?

Answer: Factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638. There are 24 integers that are factors of 1638. The greatest factor of 1638 is 1638.

3. What are the Factors of 1646?

Answer: Factors of 1646 are 1, 2, 823, 1646. There are 4 integers that are factors of 1646. The greatest factor of 1646 is 1646.

4. How to Find the GCF of 1638 and 1646?

Answer:

Greatest Common Factor of 1638 and 1646 = 2

Step 1: Find the prime factorization of 1638

1638 = 2 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 1646

1646 = 2 x 823

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1638 and 1646 is 2