Greatest Common Factor of 1050 and 1056

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 1050, 1056 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1050 and 1056 is 6.

GCF(1050,1056) = 6

GCF of 1050 and 1056

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

GCF of:
and

Greatest Common Factor of 1050 and 1056

GCF of 1050 and 1056 is 6

Prime Factorization of 1050


2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 1050 are 2,3,5,7. Prime factorization of 1050 in exponential form is:

1050 = 21×31×52×71

Prime Factorization of 1056


2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 1056 are 2,3,11. Prime factorization of 1056 in exponential form is:

1056 = 25×31×111

∴ So by taking common prime factors GCF of 1050 and 1056 is 6

Greatest Common Factor of 1050 and 1056 by matching factors method

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors and prime factorization of 1050 and 1056. The biggest common factor number is the GCF number.
So the greatest common factor 1050 and 1056 is 6.

Also check out the Least Common Multiple of 1050 and 1056

Properties of GCF 1050 and 1056

(i) The GCF of 1050 and 1056 is associative

GCF of 1050 and 1056 = GCF of 1056 and 1050

Related Greatest Common Factor of 1050

Related Greatest Common Factor of 1056

Frequently Asked Questions on GCF of 1050 and 1056

1. What is the GCF of 1050 and 1056?

Answer: GCF of 1050 and 1056 is 6.

2. What are the Factors of 1050?

Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.

3. What are the Factors of 1056?

Answer: Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. There are 24 integers that are factors of 1056. The greatest factor of 1056 is 1056.

4. How to Find the GCF of 1050 and 1056?

Answer:

Greatest Common Factor of 1050 and 1056 = 6

Step 1: Find the prime factorization of 1050

1050 = 2 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 1056

1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11

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 1050 and 1056 is 6