Greatest Common Factor of 1620 and 1626

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 1620, 1626 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1620 and 1626 is 6.

GCF(1620,1626) = 6

GCF of 1620 and 1626

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

GCF of:
and

Greatest Common Factor of 1620 and 1626

GCF of 1620 and 1626 is 6

Prime Factorization of 1620


2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1620 are 2,3,5. Prime factorization of 1620 in exponential form is:

1620 = 22×34×51

Prime Factorization of 1626


2 1626
3 813
271 271
1

Prime factors of 1626 are 2,3,271. Prime factorization of 1626 in exponential form is:

1626 = 21×31×2711

∴ So by taking common prime factors GCF of 1620 and 1626 is 6

Greatest Common Factor of 1620 and 1626 by matching factors method

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1,2,3,6,271,542,813,1626

Greatest Common Factor

We found the factors and prime factorization of 1620 and 1626. The biggest common factor number is the GCF number.
So the greatest common factor 1620 and 1626 is 6.

Also check out the Least Common Multiple of 1620 and 1626

Properties of GCF 1620 and 1626

(i) The GCF of 1620 and 1626 is associative

GCF of 1620 and 1626 = GCF of 1626 and 1620

Related Greatest Common Factor of 1620

Related Greatest Common Factor of 1626

Frequently Asked Questions on GCF of 1620 and 1626

1. What is the GCF of 1620 and 1626?

Answer: GCF of 1620 and 1626 is 6.

2. What are the Factors of 1620?

Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.

3. What are the Factors of 1626?

Answer: Factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626. There are 8 integers that are factors of 1626. The greatest factor of 1626 is 1626.

4. How to Find the GCF of 1620 and 1626?

Answer:

Greatest Common Factor of 1620 and 1626 = 6

Step 1: Find the prime factorization of 1620

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 1626

1626 = 2 x 3 x 271

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1620 and 1626 is 6