Greatest Common Factor of 7203 and 7207

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 7203, 7207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7203 and 7207 is 1.

GCF(7203,7207) = 1

GCF of 7203 and 7207

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

GCF of:
and

Greatest Common Factor of 7203 and 7207

GCF of 7203 and 7207 is 1

Prime Factorization of 7203


3 7203
7 2401
7 343
7 49
7 7
1

Prime factors of 7203 are 3,7. Prime factorization of 7203 in exponential form is:

7203 = 31×74

Prime Factorization of 7207


7207 7207
1

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 72071

∴ So by taking common prime factors GCF of 7203 and 7207 is 1

Greatest Common Factor of 7203 and 7207 by matching factors method

Factors of 7203

List of positive integer factors of 7203 that divides 7203 without a remainder.

1,3,7,21,49,147,343,1029,2401,7203

Factors of 7207

List of positive integer factors of 7207 that divides 7207 without a remainder.

1,7207

Greatest Common Factor

We found the factors and prime factorization of 7203 and 7207. The biggest common factor number is the GCF number.
So the greatest common factor 7203 and 7207 is 1.

Also check out the Least Common Multiple of 7203 and 7207

Properties of GCF 7203 and 7207

(i) The GCF of 7203 and 7207 is associative

GCF of 7203 and 7207 = GCF of 7207 and 7203

Frequently Asked Questions on GCF of 7203 and 7207

1. What is the GCF of 7203 and 7207?

Answer: GCF of 7203 and 7207 is 1.

2. What are the Factors of 7203?

Answer: Factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203. There are 10 integers that are factors of 7203. The greatest factor of 7203 is 7203.

3. What are the Factors of 7207?

Answer: Factors of 7207 are 1, 7207. There are 2 integers that are factors of 7207. The greatest factor of 7207 is 7207.

4. How to Find the GCF of 7203 and 7207?

Answer:

Greatest Common Factor of 7203 and 7207 = 1

Step 1: Find the prime factorization of 7203

7203 = 3 x 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 7207

7207 = 7207

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 7203 and 7207 is 1