Greatest Common Factor of 1608 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 1608, 1612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1608 and 1612 is 4.

GCF(1608,1612) = 4

GCF of 1608 and 1612

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

GCF of:
and

Greatest Common Factor of 1608 and 1612

GCF of 1608 and 1612 is 4

Prime Factorization of 1608


2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 1608 are 2,3,67. Prime factorization of 1608 in exponential form is:

1608 = 23×31×671

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

∴ So by taking common prime factors GCF of 1608 and 1612 is 4

Greatest Common Factor of 1608 and 1612 by matching factors method

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

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 1608 and 1612. The biggest common factor number is the GCF number.
So the greatest common factor 1608 and 1612 is 4.

Also check out the Least Common Multiple of 1608 and 1612

Properties of GCF 1608 and 1612

(i) The GCF of 1608 and 1612 is associative

GCF of 1608 and 1612 = GCF of 1612 and 1608

Related Greatest Common Factor of 1608

Related Greatest Common Factor of 1612

Frequently Asked Questions on GCF of 1608 and 1612

1. What is the GCF of 1608 and 1612?

Answer: GCF of 1608 and 1612 is 4.

2. What are the Factors of 1608?

Answer: Factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608. There are 16 integers that are factors of 1608. The greatest factor of 1608 is 1608.

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 1608 and 1612?

Answer:

Greatest Common Factor of 1608 and 1612 = 4

Step 1: Find the prime factorization of 1608

1608 = 2 x 2 x 2 x 3 x 67

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1608 and 1612 is 4