Greatest Common Factor of 1594 and 1596

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 1594, 1596 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1594 and 1596 is 2.

GCF(1594,1596) = 2

GCF of 1594 and 1596

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

GCF of:
and

Greatest Common Factor of 1594 and 1596

GCF of 1594 and 1596 is 2

Prime Factorization of 1594


2 1594
797 797
1

Prime factors of 1594 are 2,797. Prime factorization of 1594 in exponential form is:

1594 = 21×7971

Prime Factorization of 1596


2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 1596 are 2,3,7,19. Prime factorization of 1596 in exponential form is:

1596 = 22×31×71×191

∴ So by taking common prime factors GCF of 1594 and 1596 is 2

Greatest Common Factor of 1594 and 1596 by matching factors method

Factors of 1594

List of positive integer factors of 1594 that divides 1594 without a remainder.

1,2,797,1594

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors and prime factorization of 1594 and 1596. The biggest common factor number is the GCF number.
So the greatest common factor 1594 and 1596 is 2.

Also check out the Least Common Multiple of 1594 and 1596

Properties of GCF 1594 and 1596

(i) The GCF of 1594 and 1596 is associative

GCF of 1594 and 1596 = GCF of 1596 and 1594

Related Greatest Common Factor of 1594

Related Greatest Common Factor of 1596

Frequently Asked Questions on GCF of 1594 and 1596

1. What is the GCF of 1594 and 1596?

Answer: GCF of 1594 and 1596 is 2.

2. What are the Factors of 1594?

Answer: Factors of 1594 are 1, 2, 797, 1594. There are 4 integers that are factors of 1594. The greatest factor of 1594 is 1594.

3. What are the Factors of 1596?

Answer: Factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596. There are 24 integers that are factors of 1596. The greatest factor of 1596 is 1596.

4. How to Find the GCF of 1594 and 1596?

Answer:

Greatest Common Factor of 1594 and 1596 = 2

Step 1: Find the prime factorization of 1594

1594 = 2 x 797

Step 2: Find the prime factorization of 1596

1596 = 2 x 2 x 3 x 7 x 19

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 1594 and 1596 is 2