Greatest Common Factor of 1633 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 1633, 1638 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1633 and 1638 is 1.

GCF(1633,1638) = 1

GCF of 1633 and 1638

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

GCF of:
and

Greatest Common Factor of 1633 and 1638

GCF of 1633 and 1638 is 1

Prime Factorization of 1633


23 1633
71 71
1

Prime factors of 1633 are 23,71. Prime factorization of 1633 in exponential form is:

1633 = 231×711

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 1633 and 1638 is 1

Greatest Common Factor of 1633 and 1638 by matching factors method

Factors of 1633

List of positive integer factors of 1633 that divides 1633 without a remainder.

1,23,71,1633

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 1633 and 1638. The biggest common factor number is the GCF number.
So the greatest common factor 1633 and 1638 is 1.

Also check out the Least Common Multiple of 1633 and 1638

Properties of GCF 1633 and 1638

(i) The GCF of 1633 and 1638 is associative

GCF of 1633 and 1638 = GCF of 1638 and 1633

Related Greatest Common Factor of 1633

Related Greatest Common Factor of 1638

Frequently Asked Questions on GCF of 1633 and 1638

1. What is the GCF of 1633 and 1638?

Answer: GCF of 1633 and 1638 is 1.

2. What are the Factors of 1633?

Answer: Factors of 1633 are 1, 23, 71, 1633. There are 4 integers that are factors of 1633. The greatest factor of 1633 is 1633.

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 1633 and 1638?

Answer:

Greatest Common Factor of 1633 and 1638 = 1

Step 1: Find the prime factorization of 1633

1633 = 23 x 71

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 = = 1

Step 4: Therefore, the greatest common factor of 1633 and 1638 is 1