Greatest Common Factor of 1612 and 1620

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 1612, 1620 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1612 and 1620 is 4.

GCF(1612,1620) = 4

GCF of 1612 and 1620

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

GCF of:
and

Greatest Common Factor of 1612 and 1620

GCF of 1612 and 1620 is 4

Prime Factorization of 1612


2 1612
2 806
13 403
31 31
1

Prime factors of 1612 are 2,13,31. Prime factorization of 1612 in exponential form is:

1612 = 22×131×311

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

∴ So by taking common prime factors GCF of 1612 and 1620 is 4

Greatest Common Factor of 1612 and 1620 by matching factors method

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

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

Greatest Common Factor

We found the factors and prime factorization of 1612 and 1620. The biggest common factor number is the GCF number.
So the greatest common factor 1612 and 1620 is 4.

Also check out the Least Common Multiple of 1612 and 1620

Properties of GCF 1612 and 1620

(i) The GCF of 1612 and 1620 is associative

GCF of 1612 and 1620 = GCF of 1620 and 1612

Related Greatest Common Factor of 1612

Related Greatest Common Factor of 1620

Frequently Asked Questions on GCF of 1612 and 1620

1. What is the GCF of 1612 and 1620?

Answer: GCF of 1612 and 1620 is 4.

2. What are the Factors of 1612?

Answer: Factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. There are 12 integers that are factors of 1612. The greatest factor of 1612 is 1612.

3. 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.

4. How to Find the GCF of 1612 and 1620?

Answer:

Greatest Common Factor of 1612 and 1620 = 4

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

Step 2: Find the prime factorization of 1620

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

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 1612 and 1620 is 4