Greatest Common Factor of 7301 and 7305

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 7301, 7305 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7301 and 7305 is 1.

GCF(7301,7305) = 1

GCF of 7301 and 7305

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

GCF of:
and

Greatest Common Factor of 7301 and 7305

GCF of 7301 and 7305 is 1

Prime Factorization of 7301


7 7301
7 1043
149 149
1

Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:

7301 = 72×1491

Prime Factorization of 7305


3 7305
5 2435
487 487
1

Prime factors of 7305 are 3,5,487. Prime factorization of 7305 in exponential form is:

7305 = 31×51×4871

∴ So by taking common prime factors GCF of 7301 and 7305 is 1

Greatest Common Factor of 7301 and 7305 by matching factors method

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors and prime factorization of 7301 and 7305. The biggest common factor number is the GCF number.
So the greatest common factor 7301 and 7305 is 1.

Also check out the Least Common Multiple of 7301 and 7305

Properties of GCF 7301 and 7305

(i) The GCF of 7301 and 7305 is associative

GCF of 7301 and 7305 = GCF of 7305 and 7301

Related Greatest Common Factor of 7301

Related Greatest Common Factor of 7305

Frequently Asked Questions on GCF of 7301 and 7305

1. What is the GCF of 7301 and 7305?

Answer: GCF of 7301 and 7305 is 1.

2. What are the Factors of 7301?

Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.

3. What are the Factors of 7305?

Answer: Factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305. There are 8 integers that are factors of 7305. The greatest factor of 7305 is 7305.

4. How to Find the GCF of 7301 and 7305?

Answer:

Greatest Common Factor of 7301 and 7305 = 1

Step 1: Find the prime factorization of 7301

7301 = 7 x 7 x 149

Step 2: Find the prime factorization of 7305

7305 = 3 x 5 x 487

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 7301 and 7305 is 1