Greatest Common Factor of 1050 and 1054

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, 1054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1050 and 1054 is 2.

GCF(1050,1054) = 2

GCF of 1050 and 1054

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

GCF of:
and

Greatest Common Factor of 1050 and 1054

GCF of 1050 and 1054 is 2

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 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2,17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

∴ So by taking common prime factors GCF of 1050 and 1054 is 2

Greatest Common Factor of 1050 and 1054 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 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Greatest Common Factor

We found the factors and prime factorization of 1050 and 1054. The biggest common factor number is the GCF number.
So the greatest common factor 1050 and 1054 is 2.

Also check out the Least Common Multiple of 1050 and 1054

Properties of GCF 1050 and 1054

(i) The GCF of 1050 and 1054 is associative

GCF of 1050 and 1054 = GCF of 1054 and 1050

Related Greatest Common Factor of 1050

Related Greatest Common Factor of 1054

Frequently Asked Questions on GCF of 1050 and 1054

1. What is the GCF of 1050 and 1054?

Answer: GCF of 1050 and 1054 is 2.

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 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

4. How to Find the GCF of 1050 and 1054?

Answer:

Greatest Common Factor of 1050 and 1054 = 2

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 1054

1054 = 2 x 17 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1050 and 1054 is 2