Greatest Common Factor of 1612 and 1614

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, 1614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1612 and 1614 is 2.

GCF(1612,1614) = 2

GCF of 1612 and 1614

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

GCF of:
and

Greatest Common Factor of 1612 and 1614

GCF of 1612 and 1614 is 2

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 1614


2 1614
3 807
269 269
1

Prime factors of 1614 are 2,3,269. Prime factorization of 1614 in exponential form is:

1614 = 21×31×2691

∴ So by taking common prime factors GCF of 1612 and 1614 is 2

Greatest Common Factor of 1612 and 1614 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 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

Greatest Common Factor

We found the factors and prime factorization of 1612 and 1614. The biggest common factor number is the GCF number.
So the greatest common factor 1612 and 1614 is 2.

Also check out the Least Common Multiple of 1612 and 1614

Properties of GCF 1612 and 1614

(i) The GCF of 1612 and 1614 is associative

GCF of 1612 and 1614 = GCF of 1614 and 1612

Related Greatest Common Factor of 1612

Related Greatest Common Factor of 1614

Frequently Asked Questions on GCF of 1612 and 1614

1. What is the GCF of 1612 and 1614?

Answer: GCF of 1612 and 1614 is 2.

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 1614?

Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.

4. How to Find the GCF of 1612 and 1614?

Answer:

Greatest Common Factor of 1612 and 1614 = 2

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

Step 2: Find the prime factorization of 1614

1614 = 2 x 3 x 269

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 1612 and 1614 is 2