Greatest Common Factor of 7301 and 7308

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, 7308 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7301 and 7308 is 7.

GCF(7301,7308) = 7

GCF of 7301 and 7308

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

GCF of:
and

Greatest Common Factor of 7301 and 7308

GCF of 7301 and 7308 is 7

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 7308


2 7308
2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 7308 are 2,3,7,29. Prime factorization of 7308 in exponential form is:

7308 = 22×32×71×291

∴ So by taking common prime factors GCF of 7301 and 7308 is 7

Greatest Common Factor of 7301 and 7308 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 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Greatest Common Factor

We found the factors and prime factorization of 7301 and 7308. The biggest common factor number is the GCF number.
So the greatest common factor 7301 and 7308 is 7.

Also check out the Least Common Multiple of 7301 and 7308

Properties of GCF 7301 and 7308

(i) The GCF of 7301 and 7308 is associative

GCF of 7301 and 7308 = GCF of 7308 and 7301

Related Greatest Common Factor of 7301

Related Greatest Common Factor of 7308

Frequently Asked Questions on GCF of 7301 and 7308

1. What is the GCF of 7301 and 7308?

Answer: GCF of 7301 and 7308 is 7.

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 7308?

Answer: Factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308. There are 36 integers that are factors of 7308. The greatest factor of 7308 is 7308.

4. How to Find the GCF of 7301 and 7308?

Answer:

Greatest Common Factor of 7301 and 7308 = 7

Step 1: Find the prime factorization of 7301

7301 = 7 x 7 x 149

Step 2: Find the prime factorization of 7308

7308 = 2 x 2 x 3 x 3 x 7 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 7301 and 7308 is 7