Greatest Common Factor of 7201 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 7201, 7207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7201 and 7207 is 1.

GCF(7201,7207) = 1

GCF of 7201 and 7207

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

GCF of:
and

Greatest Common Factor of 7201 and 7207

GCF of 7201 and 7207 is 1

Prime Factorization of 7201


19 7201
379 379
1

Prime factors of 7201 are 19,379. Prime factorization of 7201 in exponential form is:

7201 = 191×3791

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 7201 and 7207 is 1

Greatest Common Factor of 7201 and 7207 by matching factors method

Factors of 7201

List of positive integer factors of 7201 that divides 7201 without a remainder.

1,19,379,7201

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 7201 and 7207. The biggest common factor number is the GCF number.
So the greatest common factor 7201 and 7207 is 1.

Also check out the Least Common Multiple of 7201 and 7207

Properties of GCF 7201 and 7207

(i) The GCF of 7201 and 7207 is associative

GCF of 7201 and 7207 = GCF of 7207 and 7201

Related Greatest Common Factor of 7201

Related Greatest Common Factor of 7207

Frequently Asked Questions on GCF of 7201 and 7207

1. What is the GCF of 7201 and 7207?

Answer: GCF of 7201 and 7207 is 1.

2. What are the Factors of 7201?

Answer: Factors of 7201 are 1, 19, 379, 7201. There are 4 integers that are factors of 7201. The greatest factor of 7201 is 7201.

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 7201 and 7207?

Answer:

Greatest Common Factor of 7201 and 7207 = 1

Step 1: Find the prime factorization of 7201

7201 = 19 x 379

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 7201 and 7207 is 1