Greatest Common Factor of 1609 and 1612

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 1609, 1612 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1609 and 1612 is 1.

GCF(1609,1612) = 1

GCF of 1609 and 1612

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

GCF of:
and

Greatest Common Factor of 1609 and 1612

GCF of 1609 and 1612 is 1

Prime Factorization of 1609


1609 1609
1

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 16091

Prime Factorization of 1612


2 1612
2 806
13 403
31 31
1

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

1612 = 22×131×311

∴ So by taking common prime factors GCF of 1609 and 1612 is 1

Greatest Common Factor of 1609 and 1612 by matching factors method

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1,1609

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

Greatest Common Factor

We found the factors and prime factorization of 1609 and 1612. The biggest common factor number is the GCF number.
So the greatest common factor 1609 and 1612 is 1.

Also check out the Least Common Multiple of 1609 and 1612

Properties of GCF 1609 and 1612

(i) The GCF of 1609 and 1612 is associative

GCF of 1609 and 1612 = GCF of 1612 and 1609

Related Greatest Common Factor of 1609

Related Greatest Common Factor of 1612

Frequently Asked Questions on GCF of 1609 and 1612

1. What is the GCF of 1609 and 1612?

Answer: GCF of 1609 and 1612 is 1.

2. What are the Factors of 1609?

Answer: Factors of 1609 are 1, 1609. There are 2 integers that are factors of 1609. The greatest factor of 1609 is 1609.

3. 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.

4. How to Find the GCF of 1609 and 1612?

Answer:

Greatest Common Factor of 1609 and 1612 = 1

Step 1: Find the prime factorization of 1609

1609 = 1609

Step 2: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1609 and 1612 is 1