Greatest Common Factor of 1628 and 1632

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 1628, 1632 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1628 and 1632 is 4.

GCF(1628,1632) = 4

GCF of 1628 and 1632

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

GCF of:
and

Greatest Common Factor of 1628 and 1632

GCF of 1628 and 1632 is 4

Prime Factorization of 1628


2 1628
2 814
11 407
37 37
1

Prime factors of 1628 are 2,11,37. Prime factorization of 1628 in exponential form is:

1628 = 22×111×371

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

∴ So by taking common prime factors GCF of 1628 and 1632 is 4

Greatest Common Factor of 1628 and 1632 by matching factors method

Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1,2,4,11,22,37,44,74,148,407,814,1628

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

Greatest Common Factor

We found the factors and prime factorization of 1628 and 1632. The biggest common factor number is the GCF number.
So the greatest common factor 1628 and 1632 is 4.

Also check out the Least Common Multiple of 1628 and 1632

Properties of GCF 1628 and 1632

(i) The GCF of 1628 and 1632 is associative

GCF of 1628 and 1632 = GCF of 1632 and 1628

Related Greatest Common Factor of 1628

Related Greatest Common Factor of 1632

Frequently Asked Questions on GCF of 1628 and 1632

1. What is the GCF of 1628 and 1632?

Answer: GCF of 1628 and 1632 is 4.

2. What are the Factors of 1628?

Answer: Factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628. There are 12 integers that are factors of 1628. The greatest factor of 1628 is 1628.

3. 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.

4. How to Find the GCF of 1628 and 1632?

Answer:

Greatest Common Factor of 1628 and 1632 = 4

Step 1: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 1632

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1628 and 1632 is 4