Greatest Common Factor of 1628 and 1634

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, 1634 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1628 and 1634 is 2.

GCF(1628,1634) = 2

GCF of 1628 and 1634

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

GCF of:
and

Greatest Common Factor of 1628 and 1634

GCF of 1628 and 1634 is 2

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 1634


2 1634
19 817
43 43
1

Prime factors of 1634 are 2,19,43. Prime factorization of 1634 in exponential form is:

1634 = 21×191×431

∴ So by taking common prime factors GCF of 1628 and 1634 is 2

Greatest Common Factor of 1628 and 1634 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 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1,2,19,38,43,86,817,1634

Greatest Common Factor

We found the factors and prime factorization of 1628 and 1634. The biggest common factor number is the GCF number.
So the greatest common factor 1628 and 1634 is 2.

Also check out the Least Common Multiple of 1628 and 1634

Properties of GCF 1628 and 1634

(i) The GCF of 1628 and 1634 is associative

GCF of 1628 and 1634 = GCF of 1634 and 1628

Related Greatest Common Factor of 1628

Related Greatest Common Factor of 1634

Frequently Asked Questions on GCF of 1628 and 1634

1. What is the GCF of 1628 and 1634?

Answer: GCF of 1628 and 1634 is 2.

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 1634?

Answer: Factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634. There are 8 integers that are factors of 1634. The greatest factor of 1634 is 1634.

4. How to Find the GCF of 1628 and 1634?

Answer:

Greatest Common Factor of 1628 and 1634 = 2

Step 1: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 1634

1634 = 2 x 19 x 43

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1628 and 1634 is 2