Greatest Common Factor of 1350 and 1357

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 1350, 1357 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1350 and 1357 is 1.

GCF(1350,1357) = 1

GCF of 1350 and 1357

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

GCF of:
and

Greatest Common Factor of 1350 and 1357

GCF of 1350 and 1357 is 1

Prime Factorization of 1350


2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 1350 are 2,3,5. Prime factorization of 1350 in exponential form is:

1350 = 21×33×52

Prime Factorization of 1357


23 1357
59 59
1

Prime factors of 1357 are 23,59. Prime factorization of 1357 in exponential form is:

1357 = 231×591

∴ So by taking common prime factors GCF of 1350 and 1357 is 1

Greatest Common Factor of 1350 and 1357 by matching factors method

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1,23,59,1357

Greatest Common Factor

We found the factors and prime factorization of 1350 and 1357. The biggest common factor number is the GCF number.
So the greatest common factor 1350 and 1357 is 1.

Also check out the Least Common Multiple of 1350 and 1357

Properties of GCF 1350 and 1357

(i) The GCF of 1350 and 1357 is associative

GCF of 1350 and 1357 = GCF of 1357 and 1350

Related Greatest Common Factor of 1350

Related Greatest Common Factor of 1357

Frequently Asked Questions on GCF of 1350 and 1357

1. What is the GCF of 1350 and 1357?

Answer: GCF of 1350 and 1357 is 1.

2. What are the Factors of 1350?

Answer: Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. There are 24 integers that are factors of 1350. The greatest factor of 1350 is 1350.

3. What are the Factors of 1357?

Answer: Factors of 1357 are 1, 23, 59, 1357. There are 4 integers that are factors of 1357. The greatest factor of 1357 is 1357.

4. How to Find the GCF of 1350 and 1357?

Answer:

Greatest Common Factor of 1350 and 1357 = 1

Step 1: Find the prime factorization of 1350

1350 = 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1357

1357 = 23 x 59

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 1350 and 1357 is 1