Greatest Common Factor of 1628 and 1636

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, 1636 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1628 and 1636 is 4.

GCF(1628,1636) = 4

GCF of 1628 and 1636

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

GCF of:
and

Greatest Common Factor of 1628 and 1636

GCF of 1628 and 1636 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 1636


2 1636
2 818
409 409
1

Prime factors of 1636 are 2,409. Prime factorization of 1636 in exponential form is:

1636 = 22×4091

∴ So by taking common prime factors GCF of 1628 and 1636 is 4

Greatest Common Factor of 1628 and 1636 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 1636

List of positive integer factors of 1636 that divides 1636 without a remainder.

1,2,4,409,818,1636

Greatest Common Factor

We found the factors and prime factorization of 1628 and 1636. The biggest common factor number is the GCF number.
So the greatest common factor 1628 and 1636 is 4.

Also check out the Least Common Multiple of 1628 and 1636

Properties of GCF 1628 and 1636

(i) The GCF of 1628 and 1636 is associative

GCF of 1628 and 1636 = GCF of 1636 and 1628

Related Greatest Common Factor of 1628

Related Greatest Common Factor of 1636

Frequently Asked Questions on GCF of 1628 and 1636

1. What is the GCF of 1628 and 1636?

Answer: GCF of 1628 and 1636 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 1636?

Answer: Factors of 1636 are 1, 2, 4, 409, 818, 1636. There are 6 integers that are factors of 1636. The greatest factor of 1636 is 1636.

4. How to Find the GCF of 1628 and 1636?

Answer:

Greatest Common Factor of 1628 and 1636 = 4

Step 1: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 1636

1636 = 2 x 2 x 409

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 1636 is 4