Greatest Common Factor of 1632 and 1639

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 1632, 1639 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1632 and 1639 is 1.

GCF(1632,1639) = 1

GCF of 1632 and 1639

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

GCF of:
and

Greatest Common Factor of 1632 and 1639

GCF of 1632 and 1639 is 1

Prime Factorization of 1632


2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 1632 are 2,3,17. Prime factorization of 1632 in exponential form is:

1632 = 25×31×171

Prime Factorization of 1639


11 1639
149 149
1

Prime factors of 1639 are 11,149. Prime factorization of 1639 in exponential form is:

1639 = 111×1491

∴ So by taking common prime factors GCF of 1632 and 1639 is 1

Greatest Common Factor of 1632 and 1639 by matching factors method

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors and prime factorization of 1632 and 1639. The biggest common factor number is the GCF number.
So the greatest common factor 1632 and 1639 is 1.

Also check out the Least Common Multiple of 1632 and 1639

Properties of GCF 1632 and 1639

(i) The GCF of 1632 and 1639 is associative

GCF of 1632 and 1639 = GCF of 1639 and 1632

Related Greatest Common Factor of 1632

Related Greatest Common Factor of 1639

Frequently Asked Questions on GCF of 1632 and 1639

1. What is the GCF of 1632 and 1639?

Answer: GCF of 1632 and 1639 is 1.

2. What are the Factors of 1632?

Answer: Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632. There are 24 integers that are factors of 1632. The greatest factor of 1632 is 1632.

3. What are the Factors of 1639?

Answer: Factors of 1639 are 1, 11, 149, 1639. There are 4 integers that are factors of 1639. The greatest factor of 1639 is 1639.

4. How to Find the GCF of 1632 and 1639?

Answer:

Greatest Common Factor of 1632 and 1639 = 1

Step 1: Find the prime factorization of 1632

1632 = 2 x 2 x 2 x 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 1639

1639 = 11 x 149

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 1632 and 1639 is 1