Greatest Common Factor of 1595 and 1602

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 1595, 1602 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1595 and 1602 is 1.

GCF(1595,1602) = 1

GCF of 1595 and 1602

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

GCF of:
and

Greatest Common Factor of 1595 and 1602

GCF of 1595 and 1602 is 1

Prime Factorization of 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5,11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

Prime Factorization of 1602


2 1602
3 801
3 267
89 89
1

Prime factors of 1602 are 2,3,89. Prime factorization of 1602 in exponential form is:

1602 = 21×32×891

∴ So by taking common prime factors GCF of 1595 and 1602 is 1

Greatest Common Factor of 1595 and 1602 by matching factors method

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1,5,11,29,55,145,319,1595

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1,2,3,6,9,18,89,178,267,534,801,1602

Greatest Common Factor

We found the factors and prime factorization of 1595 and 1602. The biggest common factor number is the GCF number.
So the greatest common factor 1595 and 1602 is 1.

Also check out the Least Common Multiple of 1595 and 1602

Properties of GCF 1595 and 1602

(i) The GCF of 1595 and 1602 is associative

GCF of 1595 and 1602 = GCF of 1602 and 1595

Related Greatest Common Factor of 1595

Related Greatest Common Factor of 1602

Frequently Asked Questions on GCF of 1595 and 1602

1. What is the GCF of 1595 and 1602?

Answer: GCF of 1595 and 1602 is 1.

2. What are the Factors of 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

3. What are the Factors of 1602?

Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.

4. How to Find the GCF of 1595 and 1602?

Answer:

Greatest Common Factor of 1595 and 1602 = 1

Step 1: Find the prime factorization of 1595

1595 = 5 x 11 x 29

Step 2: Find the prime factorization of 1602

1602 = 2 x 3 x 3 x 89

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 1595 and 1602 is 1