Greatest Common Factor of 7313 and 7320

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 7313, 7320 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7313 and 7320 is 1.

GCF(7313,7320) = 1

GCF of 7313 and 7320

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

GCF of:
and

Greatest Common Factor of 7313 and 7320

GCF of 7313 and 7320 is 1

Prime Factorization of 7313


71 7313
103 103
1

Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:

7313 = 711×1031

Prime Factorization of 7320


2 7320
2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 7320 are 2,3,5,61. Prime factorization of 7320 in exponential form is:

7320 = 23×31×51×611

∴ So by taking common prime factors GCF of 7313 and 7320 is 1

Greatest Common Factor of 7313 and 7320 by matching factors method

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors and prime factorization of 7313 and 7320. The biggest common factor number is the GCF number.
So the greatest common factor 7313 and 7320 is 1.

Also check out the Least Common Multiple of 7313 and 7320

Properties of GCF 7313 and 7320

(i) The GCF of 7313 and 7320 is associative

GCF of 7313 and 7320 = GCF of 7320 and 7313

Related Greatest Common Factor of 7313

Related Greatest Common Factor of 7320

Frequently Asked Questions on GCF of 7313 and 7320

1. What is the GCF of 7313 and 7320?

Answer: GCF of 7313 and 7320 is 1.

2. What are the Factors of 7313?

Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.

3. What are the Factors of 7320?

Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.

4. How to Find the GCF of 7313 and 7320?

Answer:

Greatest Common Factor of 7313 and 7320 = 1

Step 1: Find the prime factorization of 7313

7313 = 71 x 103

Step 2: Find the prime factorization of 7320

7320 = 2 x 2 x 2 x 3 x 5 x 61

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 7313 and 7320 is 1