Greatest Common Factor of 1350 and 1356

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, 1356 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1350 and 1356 is 6.

GCF(1350,1356) = 6

GCF of 1350 and 1356

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

GCF of:
and

Greatest Common Factor of 1350 and 1356

GCF of 1350 and 1356 is 6

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 1356


2 1356
2 678
3 339
113 113
1

Prime factors of 1356 are 2,3,113. Prime factorization of 1356 in exponential form is:

1356 = 22×31×1131

∴ So by taking common prime factors GCF of 1350 and 1356 is 6

Greatest Common Factor of 1350 and 1356 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 1356

List of positive integer factors of 1356 that divides 1356 without a remainder.

1,2,3,4,6,12,113,226,339,452,678,1356

Greatest Common Factor

We found the factors and prime factorization of 1350 and 1356. The biggest common factor number is the GCF number.
So the greatest common factor 1350 and 1356 is 6.

Also check out the Least Common Multiple of 1350 and 1356

Properties of GCF 1350 and 1356

(i) The GCF of 1350 and 1356 is associative

GCF of 1350 and 1356 = GCF of 1356 and 1350

Related Greatest Common Factor of 1350

Related Greatest Common Factor of 1356

Frequently Asked Questions on GCF of 1350 and 1356

1. What is the GCF of 1350 and 1356?

Answer: GCF of 1350 and 1356 is 6.

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 1356?

Answer: Factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356. There are 12 integers that are factors of 1356. The greatest factor of 1356 is 1356.

4. How to Find the GCF of 1350 and 1356?

Answer:

Greatest Common Factor of 1350 and 1356 = 6

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 1356

1356 = 2 x 2 x 3 x 113

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1350 and 1356 is 6