Greatest Common Factor of 1395 and 1402

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 1395, 1402 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1395 and 1402 is 1.

GCF(1395,1402) = 1

GCF of 1395 and 1402

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

GCF of:
and

Greatest Common Factor of 1395 and 1402

GCF of 1395 and 1402 is 1

Prime Factorization of 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3,5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

Prime Factorization of 1402


2 1402
701 701
1

Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:

1402 = 21×7011

∴ So by taking common prime factors GCF of 1395 and 1402 is 1

Greatest Common Factor of 1395 and 1402 by matching factors method

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Greatest Common Factor

We found the factors and prime factorization of 1395 and 1402. The biggest common factor number is the GCF number.
So the greatest common factor 1395 and 1402 is 1.

Also check out the Least Common Multiple of 1395 and 1402

Properties of GCF 1395 and 1402

(i) The GCF of 1395 and 1402 is associative

GCF of 1395 and 1402 = GCF of 1402 and 1395

Related Greatest Common Factor of 1395

Related Greatest Common Factor of 1402

Frequently Asked Questions on GCF of 1395 and 1402

1. What is the GCF of 1395 and 1402?

Answer: GCF of 1395 and 1402 is 1.

2. What are the Factors of 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

3. What are the Factors of 1402?

Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.

4. How to Find the GCF of 1395 and 1402?

Answer:

Greatest Common Factor of 1395 and 1402 = 1

Step 1: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 1402

1402 = 2 x 701

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 1395 and 1402 is 1