Greatest Common Factor of 7050 and 7053

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 7050, 7053 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7050 and 7053 is 3.

GCF(7050,7053) = 3

GCF of 7050 and 7053

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

GCF of:
and

Greatest Common Factor of 7050 and 7053

GCF of 7050 and 7053 is 3

Prime Factorization of 7050


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2,3,5,47. Prime factorization of 7050 in exponential form is:

7050 = 21×31×52×471

Prime Factorization of 7053


3 7053
2351 2351
1

Prime factors of 7053 are 3,2351. Prime factorization of 7053 in exponential form is:

7053 = 31×23511

∴ So by taking common prime factors GCF of 7050 and 7053 is 3

Greatest Common Factor of 7050 and 7053 by matching factors method

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050

Factors of 7053

List of positive integer factors of 7053 that divides 7053 without a remainder.

1,3,2351,7053

Greatest Common Factor

We found the factors and prime factorization of 7050 and 7053. The biggest common factor number is the GCF number.
So the greatest common factor 7050 and 7053 is 3.

Also check out the Least Common Multiple of 7050 and 7053

Properties of GCF 7050 and 7053

(i) The GCF of 7050 and 7053 is associative

GCF of 7050 and 7053 = GCF of 7053 and 7050

Related Greatest Common Factor of 7050

Related Greatest Common Factor of 7053

Frequently Asked Questions on GCF of 7050 and 7053

1. What is the GCF of 7050 and 7053?

Answer: GCF of 7050 and 7053 is 3.

2. What are the Factors of 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

3. What are the Factors of 7053?

Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.

4. How to Find the GCF of 7050 and 7053?

Answer:

Greatest Common Factor of 7050 and 7053 = 3

Step 1: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 7053

7053 = 3 x 2351

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7050 and 7053 is 3