Greatest Common Factor of 7316 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 7316, 7320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7316 and 7320 is 4.

GCF(7316,7320) = 4

GCF of 7316 and 7320

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

GCF of:
and

Greatest Common Factor of 7316 and 7320

GCF of 7316 and 7320 is 4

Prime Factorization of 7316


2 7316
2 3658
31 1829
59 59
1

Prime factors of 7316 are 2,31,59. Prime factorization of 7316 in exponential form is:

7316 = 22×311×591

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 7316 and 7320 is 4

Greatest Common Factor of 7316 and 7320 by matching factors method

Factors of 7316

List of positive integer factors of 7316 that divides 7316 without a remainder.

1,2,4,31,59,62,118,124,236,1829,3658,7316

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 7316 and 7320. The biggest common factor number is the GCF number.
So the greatest common factor 7316 and 7320 is 4.

Also check out the Least Common Multiple of 7316 and 7320

Properties of GCF 7316 and 7320

(i) The GCF of 7316 and 7320 is associative

GCF of 7316 and 7320 = GCF of 7320 and 7316

Related Greatest Common Factor of 7316

Related Greatest Common Factor of 7320

Frequently Asked Questions on GCF of 7316 and 7320

1. What is the GCF of 7316 and 7320?

Answer: GCF of 7316 and 7320 is 4.

2. What are the Factors of 7316?

Answer: Factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316. There are 12 integers that are factors of 7316. The greatest factor of 7316 is 7316.

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 7316 and 7320?

Answer:

Greatest Common Factor of 7316 and 7320 = 4

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7316 and 7320 is 4