Greatest Common Factor of 1631 and 1638

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 1631, 1638 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1631 and 1638 is 7.

GCF(1631,1638) = 7

GCF of 1631 and 1638

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

GCF of:
and

Greatest Common Factor of 1631 and 1638

GCF of 1631 and 1638 is 7

Prime Factorization of 1631


7 1631
233 233
1

Prime factors of 1631 are 7,233. Prime factorization of 1631 in exponential form is:

1631 = 71×2331

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

∴ So by taking common prime factors GCF of 1631 and 1638 is 7

Greatest Common Factor of 1631 and 1638 by matching factors method

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

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

Greatest Common Factor

We found the factors and prime factorization of 1631 and 1638. The biggest common factor number is the GCF number.
So the greatest common factor 1631 and 1638 is 7.

Also check out the Least Common Multiple of 1631 and 1638

Properties of GCF 1631 and 1638

(i) The GCF of 1631 and 1638 is associative

GCF of 1631 and 1638 = GCF of 1638 and 1631

Related Greatest Common Factor of 1631

Related Greatest Common Factor of 1638

Frequently Asked Questions on GCF of 1631 and 1638

1. What is the GCF of 1631 and 1638?

Answer: GCF of 1631 and 1638 is 7.

2. What are the Factors of 1631?

Answer: Factors of 1631 are 1, 7, 233, 1631. There are 4 integers that are factors of 1631. The greatest factor of 1631 is 1631.

3. 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.

4. How to Find the GCF of 1631 and 1638?

Answer:

Greatest Common Factor of 1631 and 1638 = 7

Step 1: Find the prime factorization of 1631

1631 = 7 x 233

Step 2: Find the prime factorization of 1638

1638 = 2 x 3 x 3 x 7 x 13

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 1631 and 1638 is 7